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

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

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

expand

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

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

Solution steps

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

Distribute parentheses

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

Simplify

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

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

6 \cdot (- 7)

(x + y)^{2}

\frac{12 !}{2 ! 10 !}

16 \cdot (- 4)

55 \cdot 5

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