Question

find the square of 15 using identity (a+b)²=a²+2ab+b²​

Answer 1

Answer:

(14+1)

(14)²+2×14×1+(1)²

196+28+1

225

Answer 2

Step-by-step explanation:

Given:

15

To find:

Square of 15 using the identity (a + b)² = a² + 2ab + b²​

Solution:

• (a + b)² = a² + 2ab + b²

⇒ (10 + 5)² = 10² + 2(10)(5) + 5²

⇒ (10 + 5)² = 100 + 100 + 25

⇒ (10 + 5)² = 225

∴ 15² = 225