Question

please answer my question fast fast fast​

Answer 1

Answer:

A) ( 200-4)^2 = 200^2 + 4^2 - 2(800)

                      = 38416

B) (50+2) x (50-2) { a^2 - b^2 = (a+b)(a-b)}

                      = 50^2 - 4

                      =2496

C) (200+5)^2 = 200^2 + 5^2 + 2(1000)

                      = 42025

D) ( 100 +8 ) = 100^2 + 64 + 2(8 x 100)

                    = 11664

Step-by-step explanation:

Answer 2

Answer:

${(196)}^{2} \\ = {(200 - 4)}^{2} \\ = {(200)}^{2} - 2 \times 200 \times 4 + {(4)}^{2} \\ = 40000 - 1600 + 16 \\ = 41616$

using identity

(a-b)² = a² - 2ab + b²

$52 \times 48 \\ = (50 + 2)(50 - 2) \\ = {(50)}^{2} - {(2)}^{2} \\ = 2500 - 4 \\ = 2496$

using identity

a² - b² = (a+b)(a-b)

${(205)}^{2} \\ = {(200 + 5)}^{2} \\ = {(200)}^{2} + 2 \times 200 \times 5 + {(5)}^{2} \\ = 40000 + 2000 + 25 \\ = 42025$

using identity

(a+b)²= a² + 2ab + b²

${(108)}^{2} \\ = {(100 + 8)}^{2} \\ = {(100)}^{2} + 2 \times 100 \times 8 + {(8)}^{2} \\ = 10000 + 1600 + 64 \\ = 11664$

using identity

(a+b)² = a² + 2ab + b²

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