Question

X + Yfactorise (X + Y) power 2 + 9 (X + Y) + 8 ​

Answer 1

Answer:

Let x+y=p

Then the equation is p

2

+9p+8

Coefficient of p

2

=1; Constant term = 8

Their product =1×8=8

Coefficient of p = 9

∴ product = 8; sum = 9

p2+9p+8=p

2+p+8p+8

=p(p+1)+8(p+1)

=(p+1)(p+8)

substituting, p=x+y

∴(x+y) 2+9(x+y)+8=(x+y+1)(x+y+8)