What is expand (2p+7q)^3 ?

The solution to expand (2p+7q)^3 is 8p^3+84p^2q+294pq^2+343q^3

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expand (2p+7q)^3

expand

(2 p + 7 q)^{3}

8 p^{3} + 84 p^{2} q + 294 p q^{2} + 343 q^{3}

Solution steps

(2 p + 7 q)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

= 8 p^{3} + 84 p^{2} q + 294 p q^{2} + 343 q^{3}

(3 t^{3})^{2}

2 x (\frac{- 1}{2})^{n - 1}

x (- 1 + i)

8 x - 3 x y + 8 - 3 y

(a + b)^{3} + (a - b)^{3} - 6 a (a^{2} - b)

What is expand (2p+7q)^3 ?
The solution to expand (2p+7q)^3 is 8p^3+84p^2q+294pq^2+343q^3