What is expand (x+3)^2(3x^2-5x-10) ?

The solution to expand (x+3)^2(3x^2-5x-10) is 3x^4+13x^3-13x^2-105x-90

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expand (x+3)^2(3x^2-5x-10)

expand

(x + 3)^{2} (3 x^{2} - 5 x - 10)

3 x^{4} + 13 x^{3} - 13 x^{2} - 105 x - 90

Solution steps

(x + 3)^{2} (3 x^{2} - 5 x - 10)

Expand

(x + 3)^{2} : x^{2} + 6 x + 9

= (x^{2} + 6 x + 9) (3 x^{2} - 5 x - 10)

Distribute parentheses

= x^{2} \cdot 3 x^{2} + x^{2} (- 5 x) + x^{2} (- 10) + 6 x \cdot 3 x^{2} + 6 x (- 5 x) + 6 x (- 10) + 9 \cdot 3 x^{2} + 9 (- 5 x) + 9 (- 10)

Simplify

x^{2} \cdot 3 x^{2} + x^{2} (- 5 x) + x^{2} (- 10) + 6 x \cdot 3 x^{2} + 6 x (- 5 x) + 6 x (- 10) + 9 \cdot 3 x^{2} + 9 (- 5 x) + 9 (- 10) : 3 x^{4} + 13 x^{3} - 13 x^{2} - 105 x - 90

= 3 x^{4} + 13 x^{3} - 13 x^{2} - 105 x - 90

\frac{x}{4} + \frac{x}{2}

\frac{1}{5} \div 7

(- 3 + 2 i)^{3}

2 x \cdot 3 x

x^{2} \cdot x^{2}

What is expand (x+3)^2(3x^2-5x-10) ?
The solution to expand (x+3)^2(3x^2-5x-10) is 3x^4+13x^3-13x^2-105x-90