Question

9(x+y)square -x square

Answer 1

Hi there !!

Given,
To factorise

9(x + y)² - x²

It can be noticed that the numbers resemble to the identity ie, a² - b² = (a + b)(a + b)

So,

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


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

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

Thus,
the answer is

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

Answer 2

Hi,

Please see the attached file!

Thanks