Question

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

Answer 1

2(x+y)²-9(x+y)-5
2(x+y)²-10(x+y)+1(x+y)-5
2(x+y)[(x+y)-5]+1[(x+y)-5]
[2(x+y)+1][(x+y)-5]

Answer 2

Answer:

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

Step-by-step explanation:

Given Expression: 2( x + y )² - 9( x + y ) - 5

We have to factorize it.

Let, x + y = z

we have

2z² - 9z - 5

= 2z² -10z + z - 5

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

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

Now putting back value of z, we get

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

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

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