What is expand (2c+5d)^3 ?

The solution to expand (2c+5d)^3 is 8c^3+60c^2d+150cd^2+125d^3

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expand (2c+5d)^3

expand

(2 c + 5 d)^{3}

8 c^{3} + 60 c^{2} d + 150 c d^{2} + 125 d^{3}

Solution steps

(2 c + 5 d)^{3}

Apply Perfect Cube Formula:

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

(2 c + 5 d)^{3} = (2 c)^{3} + 3 (2 c)^{2} \cdot 5 d + 3 \cdot 2 c (5 d)^{2} + (5 d)^{3}

= (2 c)^{3} + 3 (2 c)^{2} \cdot 5 d + 3 \cdot 2 c (5 d)^{2} + (5 d)^{3}

Simplify

(2 c)^{3} + 3 (2 c)^{2} \cdot 5 d + 3 \cdot 2 c (5 d)^{2} + (5 d)^{3} : 8 c^{3} + 60 c^{2} d + 150 c d^{2} + 125 d^{3}

= 8 c^{3} + 60 c^{2} d + 150 c d^{2} + 125 d^{3}

7 8^{2}

x + 3 x y - 6 x - 2 x + 8 x y + y - 2 x y

f (x) x^{2}

\frac{- 10 + 14 i}{- 11 + 11 i}

\frac{72}{5}

What is expand (2c+5d)^3 ?
The solution to expand (2c+5d)^3 is 8c^3+60c^2d+150cd^2+125d^3