Question

Factorise each of the following: (x + 2)² – (x + 4)² using identites​

Answer 1

Step-by-step explanation:

identity:a2+2ab+b2

x2+2x2

Answer 2

$\displaystyle\huge\red{\underline{\underline{Solution}}}$

FORMULA TO BE IMPLEMENTED

We are aware of the identity that

$a² - b² = ( a + b) ( a - b)$

TO DETERMINE

(x + 2)² – (x + 4)²

CALCULATION

$(x + 2)² \: – \: (x + 4)²$

$= (x + 2 + x + 4)(x + 2 - x - 4)$ Using Above mentioned Identity

$= (2x + 6) \times ( - 2)$

$= - 4(x + 3)$