Mental Maths Class 7 Algebra

Asked by RAJANYA MONDAL · The Level field School

What is the cube root of x^3+3x^2+3x+1?

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Answer: A. x+1

x^3 + 3x^2 + 3x + 1 matches (a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3 with a = x and b = 1. So it equals (x + 1)^3 and its cube root is x + 1.

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