Question

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

Answer 1

2(x + y)² - 9( x + y ) -5 = 0

⇒2(x + y)² - 10 (x+y) +1(x+y) -5 = 0

⇒2(x+y)(x + y - 5 ) + 1(x + y -5 ) = 0

taking (x + y -5 ) common ,

⇒(x + y -5 )[2(x + y) + 1] =0

⇒(x + y -5)(2x + 2y +1) =0