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Popular >

expand (7+x)^3

Solution

expand

(7 + x)^{3}

Solution

343 + 147 x + 21 x^{2} + x^{3}

Solution steps

(7 + x)^{3}

Apply Perfect Cube Formula:

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

(7 + x)^{3} = 7^{3} + 3 \cdot 7^{2} x + 3 \cdot 7 x^{2} + x^{3}

= 7^{3} + 3 \cdot 7^{2} x + 3 \cdot 7 x^{2} + x^{3}

Simplify

7^{3} + 3 \cdot 7^{2} x + 3 \cdot 7 x^{2} + x^{3} : 343 + 147 x + 21 x^{2} + x^{3}

= 343 + 147 x + 21 x^{2} + x^{3}

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Frequently Asked Questions (FAQ)

What is expand (7+x)^3 ?
The solution to expand (7+x)^3 is 343+147x+21x^2+x^3