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Popular >

expand 4(x+1)^3

Solution

expand

4 (x + 1)^{3}

Solution

4 x^{3} + 12 x^{2} + 12 x + 4

Solution steps

4 (x + 1)^{3}

Expand

(x + 1)^{3} : x^{3} + 3 x^{2} + 3 x + 1

= 4 (x^{3} + 3 x^{2} + 3 x + 1)

Distribute parentheses

= 4 x^{3} + 4 \cdot 3 x^{2} + 4 \cdot 3 x + 4 \cdot 1

Simplify

4 x^{3} + 4 \cdot 3 x^{2} + 4 \cdot 3 x + 4 \cdot 1 : 4 x^{3} + 12 x^{2} + 12 x + 4

= 4 x^{3} + 12 x^{2} + 12 x + 4

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Frequently Asked Questions (FAQ)

What is expand 4(x+1)^3 ?
The solution to expand 4(x+1)^3 is 4x^3+12x^2+12x+4