What is expand (7b^2+2x)^3 ?

The solution to expand (7b^2+2x)^3 is 343b^6+294xb^4+84b^2x^2+8x^3

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expand (7b^2+2x)^3

expand

(7 b^{2} + 2 x)^{3}

343 b^{6} + 294 x b^{4} + 84 b^{2} x^{2} + 8 x^{3}

Solution steps

(7 b^{2} + 2 x)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

(7 b^{2})^{3} + 3 (7 b^{2})^{2} \cdot 2 x + 3 \cdot 7 b^{2} (2 x)^{2} + (2 x)^{3} : 343 b^{6} + 294 x b^{4} + 84 b^{2} x^{2} + 8 x^{3}

= 343 b^{6} + 294 x b^{4} + 84 b^{2} x^{2} + 8 x^{3}

\frac{1}{x + 2} - \frac{1}{2}

2 a + 3 b + 5 a - 7 b

2 18 x^{3}

\frac{x ^{4} - 3 x ^{2} - 4}{x - 2}

(- 2 + 4 i) - (3 - 5 i)

What is expand (7b^2+2x)^3 ?
The solution to expand (7b^2+2x)^3 is 343b^6+294xb^4+84b^2x^2+8x^3