Grade 128 grade maths
Factorise. x^4 –(x–z)^4 ????????????????????????????????
Factorise.
x^4 –(x–z)^4 ????????????????????????????????
1 Answer
Harshit Singh
Dear Student
x^4 –(x–z)^4
= (x^2)^2-{(x-z)^2}^2
= {x^2-(x-z)^2}{x^2+(x-z)^2}
= { x-(x-z)}{x+(x-z)} {x^2+(x-z)^2}
= z(2x-z)( x^2+x^2-2xz+z^2)
= z(2x-z)( 2x^2-2xz+z^2)
Thanks
x^4 –(x–z)^4
= (x^2)^2-{(x-z)^2}^2
= {x^2-(x-z)^2}{x^2+(x-z)^2}
= { x-(x-z)}{x+(x-z)} {x^2+(x-z)^2}
= z(2x-z)( x^2+x^2-2xz+z^2)
= z(2x-z)( 2x^2-2xz+z^2)
Thanks
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