Question

Factorise 9(3x +2)^2 - 4(2x-1)^2

Answer 1

The factors of the expression 9(3x +2)^2 - 4(2x-1)^2 are (13x+4)(5x+8)

Given:

9(3x +2)^2 - 4(2x-1)^2

To find:

Factors of 9(3x +2)^2 - 4(2x-1)^2.

Solution:

9(3x +2)^2 - 4(2x-1)^2

Using (a+b)²= a²+b²+2ab

and (a-b)²= a²+b²-2ab

⇒ 9(9x²+4+12x)-4(4x²+1-4x)

⇒ (81x²+36+108x)-16x²-4+16x

⇒ 65x²+124x+32

⇒ 65x²+104x+20x+32

⇒ 13x(5x+8)+4(5x+8)

⇒ (13x+4)(5x+8)

Thus, the factors of 9(3x+2)²-4(2x-1)² are (13x+4)(5x+8)

#SPJ1

Answer 2

Step-by-step explanation:

same doubt haha lol hahahah