Question

(x^2+xy+8x+8y) factorise i need steps please

Answer 1

x(x−8)+y(x−8)x(x-8)+y(x-8)

Factor the polynomial by factoring out the greatest common factor, x−8x-8.

(x−8)(x+y)

Answer 2

x²+XY+8x+8y=0

taking x terms and y terms separately

x²+8x+XY+8y=0

taking x & y terms as common

X(x-8)+y(x-8)=0

x-8 as common

(x-8)(X+y)=0

x-8=0. =>X=8
X+y=0. 8+y=0.
=>y= -8

the value of X = 8
the value of Y= -8