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Popular >

expand (6+x)^3

Solution

expand

(6 + x)^{3}

Solution

216 + 108 x + 18 x^{2} + x^{3}

Solution steps

(6 + x)^{3}

Apply Perfect Cube Formula:

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

(6 + x)^{3} = 6^{3} + 3 \cdot 6^{2} x + 3 \cdot 6 x^{2} + x^{3}

= 6^{3} + 3 \cdot 6^{2} x + 3 \cdot 6 x^{2} + x^{3}

Simplify

6^{3} + 3 \cdot 6^{2} x + 3 \cdot 6 x^{2} + x^{3} : 216 + 108 x + 18 x^{2} + x^{3}

= 216 + 108 x + 18 x^{2} + x^{3}

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Frequently Asked Questions (FAQ)

What is expand (6+x)^3 ?
The solution to expand (6+x)^3 is 216+108x+18x^2+x^3