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

The solution to expand (3x^2-x+9)(x^2+3x+3) is 3x^4+8x^3+15x^2+24x+27

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

expand

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

3 x^{4} + 8 x^{3} + 15 x^{2} + 24 x + 27

Solution steps

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

Distribute parentheses

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

Simplify

3 x^{2} x^{2} + 3 x^{2} \cdot 3 x + 3 x^{2} \cdot 3 - x x^{2} - x \cdot 3 x - x \cdot 3 + 9 x^{2} + 9 \cdot 3 x + 9 \cdot 3 : 3 x^{4} + 8 x^{3} + 15 x^{2} + 24 x + 27

= 3 x^{4} + 8 x^{3} + 15 x^{2} + 24 x + 27

(- 2 + 3 i)^{3}

y^{- 4}

- x^{4} y + 6 x^{3} y - 5 x^{2} y

4 x^{2} + 8 x - 4 - 3 x^{2} + 6 x - 2

What is expand (3x^2-x+9)(x^2+3x+3) ?
The solution to expand (3x^2-x+9)(x^2+3x+3) is 3x^4+8x^3+15x^2+24x+27