Question

find the square of 95 using identity (a+b)²=a²+2ab+b²​

Answer 1

Step-by-step explanation:

Given:

95

To find:

Square of 95 using the identity (a + b)² = a² + 2ab + b²​

Solution:

• (a + b)² = a² + 2ab + b²

⇒ (90 + 5)² = 90² + 2(90)(5) + 5²

⇒ (90 + 5)² = 8100 + 900 + 25

⇒ (90 + 5)² = 9025

∴ 95² = 9025