Question

FACTORISE step by step plz
(a)2 - (2a+3b)2

Answer 1

Answer:

a² - (2a + 3b)² = -3(a + b)(a + 3b)

Step-by-step explanation:

a² - (2a + 3b)²

By using identity x² - y² = (x + y)(x - y)

Here x = a and y = 2a + 3b

a² - (2a + 3b)² = (a + 2a + 3b)(a - 2a - 3b)

                       = (3a + 3b)(-a - 3b)

By taking 3 common from first bracket and -1 common from 2nd bracket,

a² - (2a + 3b)² = -3(a + b)(a + 3b)

Hope this helps! :)