Factorise the following x³-y³-125z³-15xyz
Answers
Answered by
10
Heya!!
----------------------------
= x^3 - y^3 - 125z^3 - 15xyz
= x^3 +(-y) ^3 + (-5z)^3 - 3(x)(-y)(-5)
= (x-y-5) {x^2 + y^2 + 25z^2 +xy - 5yz + 5xz)
By identity :
(a^3 +b^3 +c^3 - 3abc) = (a+b+c) (a^2 + b^2 + c^2 - ab- bc - ac)
Hope it helps uh :)
----------------------------
= x^3 - y^3 - 125z^3 - 15xyz
= x^3 +(-y) ^3 + (-5z)^3 - 3(x)(-y)(-5)
= (x-y-5) {x^2 + y^2 + 25z^2 +xy - 5yz + 5xz)
By identity :
(a^3 +b^3 +c^3 - 3abc) = (a+b+c) (a^2 + b^2 + c^2 - ab- bc - ac)
Hope it helps uh :)
Similar questions