Question

using distributive law,find the square of 43

Answer 1

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$\underline{SOLUTION}$ ➡

$We \: \: know\: \: that ,\\ \\ \boxed{ ( a + b ){} ^ {2} = a{}^{2} + 2ab + b{}^{2} }\\ \\ Using \: \: this \: \: formula ,$

$Square \: \: of \: \: 43 \\ \\ = (43) {}^{2} \\ \\ = (40 + 3) {}^{2} \\ \\ = (40) {}^{2} + 2 \times 40 \times 3 +( 3) {}^{2} \\ \\ = 1600 + 240 + 9 \\ \\ = 1849$

$\underline{ANSWER}$ ➡

$\boxed{Square \: \: of \: \: 43 = (43) {}^{2} = 1849}$

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Answer 2

Identity Used »

(a + b)² = a² + 2ab + b²

Solution »

Square of 43

= 43²

= (40 + 3)²

= (40)² + 2(40) (3) + (3)²

= 1600 + 240 + 9

= 1849

Hence, the Square of 43 is 1849.

Here,

a² = (40)²

b² = (3)²

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