Question

use appropriate formulea and compute 1) (103)² 2) (96) ²
3) 107×93
4) 108×92
5) (185) ² - (115) ²

Give answer soon please give correct answer​

Answer 1

Answer:

1) (103)²

= (100 + 3)²

= (100)² + (3)² + 2×100×3

= 10000 + 9 + 600

= 19609

Formula: (a+b)² = a² + b² + 2ab

2) (96)²

= (100 - 4)²

= (100)² + (4)² - 2×100×4

= 10000 + 16 - 800

= 10016 - 800

= 9216

Formula: (a+b)² = a² + b² - 2ab

3) 107×93

= (100+7) (100-7)

= (100)² - (7)²

= 10000 - 49

= 9951

Formula: (a+b) (a-b) = a² - b²

4) 108×92

= (100+8) (100-8)

= (100)² - (8)²

= 10000 - 64

= 9936

Formula: (a+b) (a-b) = a² - b²

5) (185)² - (115)²

= (185+115) (185-115)

= 300 × 70

= 21000

Formula: a² - b² = (a+b) (a-b)

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