Question

Evaluate using identities: 87^2

Answer 1

Answer:

7569

Step-by-step explanation:

Identity » (a-b)² = a²-2ab+b²

(87)²

= (100-13)²

= (100)² - 2(100)(13) + (13)²

= 10000 - 2600 + 169

= 7569

Answer 2

Step-by-step explanation:

${87}^{2} = {(100 - 13)}^{2} = {(100)}^{2} + {(13)}^{2} - 2(100)(13) \\ \: \: \: \: \: \: = 10000 + 169 - 2600 \\ \: \: \: \: \: = 7569$