What is expand (8a+b)^3 ?

The solution to expand (8a+b)^3 is 512a^3+192a^2b+24ab^2+b^3

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expand (8a+b)^3

expand

(8 a + b)^{3}

512 a^{3} + 192 a^{2} b + 24 a b^{2} + b^{3}

Solution steps

(8 a + b)^{3}

Apply Perfect Cube Formula:

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

(8 a + b)^{3} = (8 a)^{3} + 3 (8 a)^{2} b + 3 \cdot 8 a b^{2} + b^{3}

= (8 a)^{3} + 3 (8 a)^{2} b + 3 \cdot 8 a b^{2} + b^{3}

Simplify

(8 a)^{3} + 3 (8 a)^{2} b + 3 \cdot 8 a b^{2} + b^{3} : 512 a^{3} + 192 a^{2} b + 24 a b^{2} + b^{3}

= 512 a^{3} + 192 a^{2} b + 24 a b^{2} + b^{3}

2 (t - sin (x)) + 2 (1 - cos (x))

\frac{4}{( x ^{2} - 25 )} + \frac{( x + 2 )}{( x ^{2} - 2 x - 15 )}

343 x^{6} + 512

4 (b - 7) + 6 b + 5

5 c^{1} + 5 c^{2} + 5 c^{3}

What is expand (8a+b)^3 ?
The solution to expand (8a+b)^3 is 512a^3+192a^2b+24ab^2+b^3