What is expand (7x+2y)^3 ?

The solution to expand (7x+2y)^3 is 343x^3+294x^2y+84xy^2+8y^3

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expand (7x+2y)^3

expand

(7 x + 2 y)^{3}

343 x^{3} + 294 x^{2} y + 84 x y^{2} + 8 y^{3}

Solution steps

(7 x + 2 y)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

(7 x)^{3} + 3 (7 x)^{2} \cdot 2 y + 3 \cdot 7 x (2 y)^{2} + (2 y)^{3} : 343 x^{3} + 294 x^{2} y + 84 x y^{2} + 8 y^{3}

= 343 x^{3} + 294 x^{2} y + 84 x y^{2} + 8 y^{3}

4 x^{3} - 11 x^{2} - 19 x - 4

\frac{3 - 4}{3 - 10}

(x - 6) (x - 6)

5 x^{4} x y

8 (\frac{4 x - 7}{x + 1})^{2} + 7

What is expand (7x+2y)^3 ?
The solution to expand (7x+2y)^3 is 343x^3+294x^2y+84xy^2+8y^3