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

The solution to expand (2a+7b)^3 is 8a^3+84a^2b+294ab^2+343b^3

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expand (2a+7b)^3

expand

(2 a + 7 b)^{3}

8 a^{3} + 84 a^{2} b + 294 a b^{2} + 343 b^{3}

Solution steps

(2 a + 7 b)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

= 8 a^{3} + 84 a^{2} b + 294 a b^{2} + 343 b^{3}

ln (e^{3 x - 2})

\frac{cos ^{5} ( x )}{2} - \frac{cos ^{3} ( x )}{2}

\frac{1}{x + 3 - 5}

cos^{2} (\frac{180}{4} - \frac{a}{2})

36 x^{2} + 90 x y - 30 x y + (m - 4) \cdot y^{2}

What is expand (2a+7b)^3 ?
The solution to expand (2a+7b)^3 is 8a^3+84a^2b+294ab^2+343b^3