Factorize:2(x+y)2-9(x+y)-5

Given,2(x+y)2 – 9(x+y) – 5,= 2a2 -9a – 5Let (x+y) = a= 2a2 – 10a+a – 5= 2a (a-5) +1(a-5)= (2a+1) (a-5)= {2(x+y)+1}(x+y-5)(2x+2y+1) (x+y-5)

Q33 of 111 Page 6

Factorize:
2(x+y)²-9(x+y)-5

Given,

2(x+y)² – 9(x+y) – 5,

= 2a² -9a – 5

Let (x+y) = a

= 2a² – 10a+a – 5

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

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

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

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

Factorize:

9(2a – b)² –4 (2a – b) – 13

Factorize:

7(x-2y)²-25(x-2y)+12

Give possible expressions for the length and breadth of the rectangle having 35y²+13y-12 as its area.

What are the possible expressions for the dimensions of the cuboid whose volume is 3x²-12x.