Question

find the square of 74 without actual multiplication ​

Answer 1

Answer:

5476

Explanation:

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Answer 2

ANSWER:

${74}^{2} = {(70 + 4)}^{2} \\ using \: the \: identity \: {(x + y)}^{2} = {x}^{2} + 2xy + {y}^{2} \\ {(70 + 4)}^{2} = {70}^{2} + 2(70)(4) + {4}^{2} \\ = > 4900 + 560 + 16 = 5476$

Therefore, (74)^2 = 5,476

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