What is expand (3a+7b)(9a^2-21ab+49b^2) ?

The solution to expand (3a+7b)(9a^2-21ab+49b^2) is 27a^3+343b^3

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expand (3a+7b)(9a^2-21ab+49b^2)

expand

(3 a + 7 b) (9 a^{2} - 21 ab + 49 b^{2})

27 a^{3} + 343 b^{3}

Solution steps

(3 a + 7 b) (9 a^{2} - 21 ab + 49 b^{2})

Distribute parentheses

= 3 a \cdot 9 a^{2} + 3 a (- 21 ab) + 3 a \cdot 49 b^{2} + 7 b \cdot 9 a^{2} + 7 b (- 21 ab) + 7 b \cdot 49 b^{2}

Simplify

3 a \cdot 9 a^{2} + 3 a (- 21 ab) + 3 a \cdot 49 b^{2} + 7 b \cdot 9 a^{2} + 7 b (- 21 ab) + 7 b \cdot 49 b^{2} : 27 a^{3} + 343 b^{3}

= 27 a^{3} + 343 b^{3}

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What is expand (3a+7b)(9a^2-21ab+49b^2) ?
The solution to expand (3a+7b)(9a^2-21ab+49b^2) is 27a^3+343b^3