What is expand (x^3+7x^2-3x+9)(2x+3y) ?

The solution to expand (x^3+7x^2-3x+9)(2x+3y) is 2x^4+3x^3y+14x^3+21x^2y-6x^2-9xy+18x+27y

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expand (x^3+7x^2-3x+9)(2x+3y)

expand

(x^{3} + 7 x^{2} - 3 x + 9) (2 x + 3 y)

2 x^{4} + 3 x^{3} y + 14 x^{3} + 21 x^{2} y - 6 x^{2} - 9 x y + 18 x + 27 y

Solution steps

(x^{3} + 7 x^{2} - 3 x + 9) (2 x + 3 y)

Distribute parentheses

= x^{3} \cdot 2 x + x^{3} \cdot 3 y + 7 x^{2} \cdot 2 x + 7 x^{2} \cdot 3 y - 3 x \cdot 2 x - 3 x \cdot 3 y + 9 \cdot 2 x + 9 \cdot 3 y

Simplify

x^{3} \cdot 2 x + x^{3} \cdot 3 y + 7 x^{2} \cdot 2 x + 7 x^{2} \cdot 3 y - 3 x \cdot 2 x - 3 x \cdot 3 y + 9 \cdot 2 x + 9 \cdot 3 y : 2 x^{4} + 3 x^{3} y + 14 x^{3} + 21 x^{2} y - 6 x^{2} - 9 x y + 18 x + 27 y

= 2 x^{4} + 3 x^{3} y + 14 x^{3} + 21 x^{2} y - 6 x^{2} - 9 x y + 18 x + 27 y

2 (3) + 3

- \frac{160}{2 ( - 2 )}

+ \frac{1}{2} (10 x + 20 y + 10 z)

\frac{7}{9} - \frac{1}{2}

What is expand (x^3+7x^2-3x+9)(2x+3y) ?
The solution to expand (x^3+7x^2-3x+9)(2x+3y) is 2x^4+3x^3y+14x^3+21x^2y-6x^2-9xy+18x+27y