What is expand (x^2-2x+1)(x^2+5x+9) ?

The solution to expand (x^2-2x+1)(x^2+5x+9) is x^4+3x^3-13x+9

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expand (x^2-2x+1)(x^2+5x+9)

expand

(x^{2} - 2 x + 1) (x^{2} + 5 x + 9)

x^{4} + 3 x^{3} - 13 x + 9

Solution steps

(x^{2} - 2 x + 1) (x^{2} + 5 x + 9)

Distribute parentheses

= x^{2} x^{2} + x^{2} \cdot 5 x + x^{2} \cdot 9 - 2 x x^{2} - 2 x \cdot 5 x - 2 x \cdot 9 + 1 \cdot x^{2} + 1 \cdot 5 x + 1 \cdot 9

Simplify

x^{2} x^{2} + x^{2} \cdot 5 x + x^{2} \cdot 9 - 2 x x^{2} - 2 x \cdot 5 x - 2 x \cdot 9 + 1 \cdot x^{2} + 1 \cdot 5 x + 1 \cdot 9 : x^{4} + 3 x^{3} - 13 x + 9

= x^{4} + 3 x^{3} - 13 x + 9

3 (2 x - y)

\frac{1}{x - 2} + \frac{1}{x + 2}

22 - 5

(2 + x) x

25 - 4

What is expand (x^2-2x+1)(x^2+5x+9) ?
The solution to expand (x^2-2x+1)(x^2+5x+9) is x^4+3x^3-13x+9