What is expand (3x+8y)(2x^2-4xy+6y^2) ?

The solution to expand (3x+8y)(2x^2-4xy+6y^2) is 6x^3+4x^2y-14xy^2+48y^3

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expand (3x+8y)(2x^2-4xy+6y^2)

expand

(3 x + 8 y) (2 x^{2} - 4 x y + 6 y^{2})

6 x^{3} + 4 x^{2} y - 14 x y^{2} + 48 y^{3}

Solution steps

(3 x + 8 y) (2 x^{2} - 4 x y + 6 y^{2})

Distribute parentheses

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

Simplify

3 x \cdot 2 x^{2} + 3 x (- 4 x y) + 3 x \cdot 6 y^{2} + 8 y \cdot 2 x^{2} + 8 y (- 4 x y) + 8 y \cdot 6 y^{2} : 6 x^{3} + 4 x^{2} y - 14 x y^{2} + 48 y^{3}

= 6 x^{3} + 4 x^{2} y - 14 x y^{2} + 48 y^{3}

7 a^{2} - 2 a^{2}

\frac{2}{5} \div \frac{8}{5}

\frac{1}{2} x + 4

5 \frac{1}{2} - 7

What is expand (3x+8y)(2x^2-4xy+6y^2) ?
The solution to expand (3x+8y)(2x^2-4xy+6y^2) is 6x^3+4x^2y-14xy^2+48y^3