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Evaluate 993^2 using algebraic identities |
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Answer» ata : EVALUATE 993² by USING algebraic identities.Solution : Here, we know : ⟹ 993 = { 1000 - 7 }So we can write;⟹ 993² = { 1000 - 7 }²Now, by algebraic identity : a² - 2ab + b²Where, a = 1000 & b = 7 ⟹ 993² = 1000² - 2 * 1000 * 7 + 7²⟹ 993² = 1000000 - 2000 * 7 + 49⟹ 993² = 1000000 - 14000 + 49⟹ 993² = 986000 + 49⟹ 993² = 986049Answer : HENCE, 993² is EQUAL to 986049. |
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