What is expand (8e^2+10cb)^3 ?

The solution to expand (8e^2+10cb)^3 is 512e^6+1920e^4cb+2400e^2c^2b^2+1000c^3b^3

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expand (8e^2+10cb)^3

expand

(8 e^{2} + 10 c b)^{3}

512 e^{6} + 1920 e^{4} c b + 2400 e^{2} c^{2} b^{2} + 1000 c^{3} b^{3}

Solution steps

(8 e^{2} + 10 c b)^{3}

Apply Perfect Cube Formula:

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

a = 8 e^{2}, b = 10 c b

= (8 e^{2})^{3} + 3 (8 e^{2})^{2} \cdot 10 c b + 3 \cdot 8 e^{2} (10 c b)^{2} + (10 c b)^{3}

Simplify

(8 e^{2})^{3} + 3 (8 e^{2})^{2} \cdot 10 c b + 3 \cdot 8 e^{2} (10 c b)^{2} + (10 c b)^{3} : 512 e^{6} + 1920 e^{4} c b + 2400 e^{2} c^{2} b^{2} + 1000 c^{3} b^{3}

= 512 e^{6} + 1920 e^{4} c b + 2400 e^{2} c^{2} b^{2} + 1000 c^{3} b^{3}

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What is expand (8e^2+10cb)^3 ?
The solution to expand (8e^2+10cb)^3 is 512e^6+1920e^4cb+2400e^2c^2b^2+1000c^3b^3