FACTORISATION || CLASS X MATH EX.3.1 Q.NO.2(xi) || MANIPUR BOARD || GPS MANIPUR

now we are doing exercise 3.1 question number two roman number 11 so roman number 11 we have let me write down the question question is question number two roman numeral factorize the following x to the power six whole into y to the power 4 minus z to the power 4 close the bracket plus y to the power 6 whole into z to the power 4 minus x to the power 4 plus z to the power 6 whole into x to the power 4 minus y to the power 4 solution this is our question so first

step what am i going to do is multiply right so multiply this number okay first let me keep this one as it is so x to the power 6 y to the power 4 minus z to the power 4 keep this one as it is this one into this one multiply y to the power 6 into z to the power 4 minus y to the power 6 into x to the power 4 plus z to the power 6 into x to the power 4 plus minus minus z to the power 6 into y to the

power 4 now x to the power 6 y to the power 4 minus z to the power 4 and now you need to take comments right so y to the power 4 minus z to the power 4 you must take y minus that command if possible so where you can take is if i take from these two okay take common from these two you can take y to the power four command and z or four common so from here j to the power four goes y to the power four goes what's left out is y

square and from here z to the power 4 goes y to the power 4 goes what's left out z to the power 6 so z to the power square right minus from these 2 we can take common that is let us take x to the power 4 common plus x to the power 4 if i take x to the power 4 only it will be x minus 6 y z minus y so let us take minus x to the power 4 common if i take minus x to the power 4 common what's left out here

y to the power 6 minus from here z to the power 6 so x to the power 6 y to the power 4 minus z to the power 4 and all these things so i can write down x to the power 6 y to the power 4 and z to the power 4 okay let me take y square j square common if i take y square z square y square minus z square common from this first one what's left out is x to the power 6 is left out from here into from here these two

i have taken y square and z square common so what's left out will be y square minus z square taken common so why square plus z square will be left out here plus from these two i have taken out this one common so y to the power 4 z to the power 4 is left out and from this one i have taken x y square and z square common this one okay this one i can write down as y to the power of 6 x to z to the power 6 y square whole cube minus

z square whole cube in y cube z cube i can write down s y square minus z square y to the power of y to the power 4 plus y square z square plus z to the power 4 i can write down this one like this all right so i have taken out this one common what's left out is this one so let me rough this one and copy this one so i'm going to write here y to the power 4 so x to the power 4 into this one y to the power 4 plus

y square z square plus z to the power 4 okay now let me rough this one i hope you understood this concept it's not that complicated you may find it little but not that much now okay so i have taken y squared j square common so write down y square minus z square common and now from inside you multiply all this and you are going to get x to the power 6 y square plus x to the power 6 z square plus from this one y to the power 4 z to the power 4 minus

x to the power 4 into y to the power 4 it will be x to the power 4 1 to the power 4 minus into plus it is minus x to the power 4 y square z square and if i multiply by x to the power 4 again it will be minus x to the power 4 z to the power 4 right now y square minus that square i have taken out common now i have to take another thing common so what is that what can i take common next right so y minus z i

have taken common so let us try to take z minus x or x minus y okay let us say try x minus y so if i take this one and this one common okay from these two if i take common it will be x to the power 4 will be common and y square will be common if i take x to the power 4 common from here what's left out is x squared y squared taken out from here taken x square and y square common so what's left out here is minus y square and next

if i take common from this one x to the power 6 z square and x to the power 6 z square and somewhere from here okay if i take out common from these two this one here this one and this one what what i can take common is plus x to the power four can be taken out common and jet square can be taken out common from here what's left out is x square and here what's left out is y square and i have these two and from these two if i take z to the

power 4 common what's left out is from here y to the power 4 and from here z to the power 4 x to the power 4 so let me take minus common right so if i take minus z to the power 4 common from this 2 what can i write down is x to the power 4 minus y to the power 4 okay this much let me close the bracket so y square minus z square put in the bracket and from this 2 i can take x square minus y square common so x square minus

y square also taken out common after taking this one common what's left out write it down that is so from let me put another bracket x to the power 4 y square plus x to the power 4 z square taking out this command okay from here it is x to the power 4 minus y to the power 4 so from here i've taken x square and y square common so what's left out will be z to the power 4 x square plus y square okay and y square minus z square x square minus y square

and from this one and okay let me multiply x to the power 4 y square plus x to the power 4 z square minus x square z to the power 4 minus y square z to the power 4 okay so now let me rough this one the first one and after roughing up this one okay now let me write down here now let me wrap the question also not important right okay now what i can write down is copy that one y square minus okay let me copy in order that is x square minus y

square x square minus y square and next that will be y square minus z square okay and from this i can take common there are something that we can take common from this one x to the power 4 if i take from this one and this one if i take y square common from first one this one and this last one okay if i take y square common from x to the power 4 minus z to the power 4 and from these 2 if i take x square plus what can i take common is i

can take x square and z square common if i take that it will be x minus z so let me graph and take minus also common and if i take minus x square z square common then it will be x square minus z square x square and z square if i take common it will be x square minus sorry i can take plus here x square minus z square this will be the common one now x square minus y square y square minus z square and from this one i can take x to the x

square minus z square common if i take that what's left out will be y square this one x square plus y z square will be left out plus x square square now i can write down this one as x square minus y square y square minus z square and i think the book has given j square minus x squared so write down z square minus x square x square minus z square you are writing down like this so one negative sign put it here okay and this one inside one you write down in bracket that

is y square x square y square you can return this one as x square y square plus y square into y square it will be this is x square i think uh z square into y square it will be y square z square plus x square and z square so x square y square y square z square and z square x square and this is your answer i hope okay i hope this one is the correct one that's all thank you so much we will meet in the next video