Question

factorise :
2(x+y)^2-9(x+y)-5

Answer 1

Answer:

(2x+2y+1)(x+y-5)

Step-by-step explanation:

2(x+Y)^2-9(x+y)-5

Let x+y=A

Therefore: 2A^2-9A-5

Now split the middlew term

Product= -10A and Sum= -9A

When we factorize we get 2A^2-10A+A-5

= 2A(A-5)+1(A-5)

= (2A+1)(A-5)

We know that A=x+y

Substitiuting A=x+y

We get (2x+2y+1)(x+y-5)

Therefore 2(x+y)^2-9(x+y)-5=(2x+2y+1)(x+y-5)

Thus factorized hope this was helpful.