What is expand (7a+b)^3 ?

The solution to expand (7a+b)^3 is 343a^3+147a^2b+21ab^2+b^3

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expand (7a+b)^3

expand

(7 a + b)^{3}

343 a^{3} + 147 a^{2} b + 21 a b^{2} + b^{3}

Solution steps

(7 a + b)^{3}

Apply Perfect Cube Formula:

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

(7 a + b)^{3} = (7 a)^{3} + 3 (7 a)^{2} b + 3 \cdot 7 a b^{2} + b^{3}

= (7 a)^{3} + 3 (7 a)^{2} b + 3 \cdot 7 a b^{2} + b^{3}

Simplify

(7 a)^{3} + 3 (7 a)^{2} b + 3 \cdot 7 a b^{2} + b^{3} : 343 a^{3} + 147 a^{2} b + 21 a b^{2} + b^{3}

= 343 a^{3} + 147 a^{2} b + 21 a b^{2} + b^{3}

6 a^{2} b^{3} + 12 a^{4} b

65 x^{3} - 35 x^{2} + 5 x

\frac{( x ^{2} + 5 x + 6 )}{( x + 3 )}

1 - \frac{\frac{( v + 3 )}{( 4 v + 24 )}}{2} + \frac{( 2 )}{( v + 6 )}

9 (- w - 8) + w

What is expand (7a+b)^3 ?
The solution to expand (7a+b)^3 is 343a^3+147a^2b+21ab^2+b^3