What is expand (7x+8y)^3 ?

The solution to expand (7x+8y)^3 is 343x^3+1176x^2y+1344xy^2+512y^3

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expand (7x+8y)^3

expand

(7 x + 8 y)^{3}

343 x^{3} + 1176 x^{2} y + 1344 x y^{2} + 512 y^{3}

Solution steps

(7 x + 8 y)^{3}

Apply Perfect Cube Formula:

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

(7 x + 8 y)^{3} = (7 x)^{3} + 3 (7 x)^{2} \cdot 8 y + 3 \cdot 7 x (8 y)^{2} + (8 y)^{3}

= (7 x)^{3} + 3 (7 x)^{2} \cdot 8 y + 3 \cdot 7 x (8 y)^{2} + (8 y)^{3}

Simplify

(7 x)^{3} + 3 (7 x)^{2} \cdot 8 y + 3 \cdot 7 x (8 y)^{2} + (8 y)^{3} : 343 x^{3} + 1176 x^{2} y + 1344 x y^{2} + 512 y^{3}

= 343 x^{3} + 1176 x^{2} y + 1344 x y^{2} + 512 y^{3}

\frac{( 8 x ^{3} + 18 x ^{2} - 43 x + 10 )}{( 4 x - 5 )}

(3 y + 5 z)^{3}

(v^{3})^{- 7}

\frac{( 2 ( f ^{4} ) ^{2} f ^{2} )}{8 f ^{12}}

(4 y^{3})^{2}

What is expand (7x+8y)^3 ?
The solution to expand (7x+8y)^3 is 343x^3+1176x^2y+1344xy^2+512y^3