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Popular >

expand (X+1)^3

Solution

expand

(X + 1)^{3}

Solution

X^{3} + 3 X^{2} + 3 X + 1

Solution steps

(X + 1)^{3}

Apply Perfect Cube Formula:

(a + b)^{3} = a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}

(X + 1)^{3} = X^{3} + 3 X^{2} \cdot 1 + 3 X \cdot 1^{2} + 1^{3}

= X^{3} + 3 X^{2} \cdot 1 + 3 X \cdot 1^{2} + 1^{3}

Simplify

X^{3} + 3 X^{2} \cdot 1 + 3 X \cdot 1^{2} + 1^{3} : X^{3} + 3 X^{2} + 3 X + 1

= X^{3} + 3 X^{2} + 3 X + 1

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Frequently Asked Questions (FAQ)

What is expand (X+1)^3 ?
The solution to expand (X+1)^3 is X^3+3X^2+3X+1