What is expand (3x+2y)(9x^2-6xy+4y^2) ?

The solution to expand (3x+2y)(9x^2-6xy+4y^2) is 27x^3+8y^3

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expand (3x+2y)(9x^2-6xy+4y^2)

expand

(3 x + 2 y) (9 x^{2} - 6 x y + 4 y^{2})

27 x^{3} + 8 y^{3}

Solution steps

(3 x + 2 y) (9 x^{2} - 6 x y + 4 y^{2})

Distribute parentheses

= 3 x \cdot 9 x^{2} + 3 x (- 6 x y) + 3 x \cdot 4 y^{2} + 2 y \cdot 9 x^{2} + 2 y (- 6 x y) + 2 y \cdot 4 y^{2}

Simplify

3 x \cdot 9 x^{2} + 3 x (- 6 x y) + 3 x \cdot 4 y^{2} + 2 y \cdot 9 x^{2} + 2 y (- 6 x y) + 2 y \cdot 4 y^{2} : 27 x^{3} + 8 y^{3}

= 27 x^{3} + 8 y^{3}

(x 2)^{2}

53 + 3

8 ∣ - 7 + 2 ∣ + 9 ∣ - 4 + 9 ∣

\frac{17}{4} - \frac{43}{12} \cdot 1

\frac{10}{12}

What is expand (3x+2y)(9x^2-6xy+4y^2) ?
The solution to expand (3x+2y)(9x^2-6xy+4y^2) is 27x^3+8y^3