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

The solution to expand (3a+7b)^3 is 27a^3+189a^2b+441ab^2+343b^3

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expand (3a+7b)^3

expand

(3 a + 7 b)^{3}

27 a^{3} + 189 a^{2} b + 441 a b^{2} + 343 b^{3}

Solution steps

(3 a + 7 b)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

(3 a)^{3} + 3 (3 a)^{2} \cdot 7 b + 3 \cdot 3 a (7 b)^{2} + (7 b)^{3} : 27 a^{3} + 189 a^{2} b + 441 a b^{2} + 343 b^{3}

= 27 a^{3} + 189 a^{2} b + 441 a b^{2} + 343 b^{3}

(5 p^{2})^{2} \cdot (2 p^{3})^{3}

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(((x^{2})^{x})^{3})^{x}

(x + y)^{6} - x^{6}

(n^{7})^{11}

What is expand (3a+7b)^3 ?
The solution to expand (3a+7b)^3 is 27a^3+189a^2b+441ab^2+343b^3