Question

Find square of the following number (without actual multiplication

(1) 71 (2)89 (3) 667 (4)89 (5)3157​

Answer 1

Answer:

1)5041

2)7921

3)444889

5)9966649

Step-by-step explanation:

(70+1)sq=70sq+2*70*1+1sq=5041

using identity 1 (a+b)whole square = a square +2ab+b square

Answer 2

Answer:

1. ( 71 )² = 5041

2. ( 89 )² = 7921

3. ( 667 )² = 444889

4. ( 3157 )² = 9966649

Step-by-step-explanation:

NOTE: Kindly refer to the attachment.

Identities Used:

1. ( a + b )² = a² + 2ab + b²

2. ( a - b )² = a² - 2ab + b²

3. ( a + b + c )² = a² + b² + c² + 2ab + 2bc + 2ac

4. ( a + b + c + d )² = a² + b² + 2ab + c² + d² + 2cd + 2 ( ac + bc + ad + bd )