Question

Factorise fully (a+b)²-c² ​

Answer 1

(a+b+c) (a+b-c)

Answer 2

(a + b + c)(a + b - c)

Explanation:

(a + b)² - c² ← is a difference of squares and factors in general as

x² - y² = (x + y)(x - y)

Here x = a + b and y = c , then

(a + b)² - c²

= (a + b + c)(a + b - c)