Question

9(x+y)^2-x^2
the answer is (4x+3y)(2x+3y)
plz explain​

Answer 1

Answer:

(4x+3y)(2x+3y)

Step-by-step explanation:

9(x+y)²-x²

9(x²+y²+2xy)-x²

9x²+9y²+18xy-x²

8x²+18xy+9y²

8x²+12xy+6xy+9y²

4x(4x+3y)+3y(2x+3y)

(4x+3y)(2x+3y)

Answer 2

Question:-

• Factorise the polynomial.

Solution:-

$\sf 9 {(x + y)}^{2} - {x}^{2}$

$\sf = (3(x + y))^{2} - {(x)}^{2}$

$\sf = {(3x + 3y)}^{2} - {(x)}^{2}$

$\sf = (3x + 3y + x)(3x + 3y - x)$

$\sf = (4x + 3y)(2x + 3y)$

Which is the required answer.

Answer:-

• Factorised form is $\sf = (4x + 3y)(2x + 3y)$