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Popular >

expand (4+x)^3

Solution

expand

(4 + x)^{3}

Solution

64 + 48 x + 12 x^{2} + x^{3}

Solution steps

(4 + x)^{3}

Apply Perfect Cube Formula:

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

(4 + x)^{3} = 4^{3} + 3 \cdot 4^{2} x + 3 \cdot 4 x^{2} + x^{3}

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

Simplify

4^{3} + 3 \cdot 4^{2} x + 3 \cdot 4 x^{2} + x^{3} : 64 + 48 x + 12 x^{2} + x^{3}

= 64 + 48 x + 12 x^{2} + x^{3}

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Frequently Asked Questions (FAQ)

What is expand (4+x)^3 ?
The solution to expand (4+x)^3 is 64+48x+12x^2+x^3