Question

Factorise the following algebraic expression by using suitable identity m²+16m+64​

Answer 1

Step-by-step explanation:

m²+16m+64

m²+2.m.8+8²

(m+8)²

Answer 2

Answer:

(m + 8)²

Step-by-step explanation:

To factorise:

m² + 16m + 64

Method to factorise:

Since both the first and last terms are perfect squares, we can factorise it using the following identity:

(a + b)² = a² + 2ab + b²

⇒ (m)² + 2(m)(8) + (8)²

⇒ (m + 8)²

Other identities to use to factorise:

• (a - b)² = a² - 2ab + b²

• a² - b² = (a + b)(a - b)

• (x + a)(x +b) = x² + x(a + b) + ab

Hope it helps!