Question

factorise the following expression a2+2ab+b2-16​

Answer 1

Answer:

(a + b + 4)(a +b - 4)

Step-by-step explanation:

a² + 2ab + b² - 16

(a + b) ² - 16 [(a + b) ² = a² + 2ab + b²)]

(a + b)² - 4² [ a² - b² = (a + b) (a - b)]

(a + b + 4) (a + b - 4)