What is expand (3x^3-9x+7)(x^2-2x+1) ?

The solution to expand (3x^3-9x+7)(x^2-2x+1) is 3x^5-6x^4-6x^3+25x^2-23x+7

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expand (3x^3-9x+7)(x^2-2x+1)

expand

(3 x^{3} - 9 x + 7) (x^{2} - 2 x + 1)

3 x^{5} - 6 x^{4} - 6 x^{3} + 25 x^{2} - 23 x + 7

Solution steps

(3 x^{3} - 9 x + 7) (x^{2} - 2 x + 1)

Distribute parentheses

= 3 x^{3} x^{2} + 3 x^{3} (- 2 x) + 3 x^{3} \cdot 1 - 9 x x^{2} - 9 x (- 2 x) - 9 x \cdot 1 + 7 x^{2} + 7 (- 2 x) + 7 \cdot 1

Simplify

3 x^{3} x^{2} + 3 x^{3} (- 2 x) + 3 x^{3} \cdot 1 - 9 x x^{2} - 9 x (- 2 x) - 9 x \cdot 1 + 7 x^{2} + 7 (- 2 x) + 7 \cdot 1 : 3 x^{5} - 6 x^{4} - 6 x^{3} + 25 x^{2} - 23 x + 7

= 3 x^{5} - 6 x^{4} - 6 x^{3} + 25 x^{2} - 23 x + 7

20 (- 1.5 r + 0.75)

\frac{5 ^{5 l o g_{5} (3)}}{5 ^{2 l o g_{5} (3)}}

\frac{2}{x + 4} + \frac{1}{x - 3}

\frac{cos ( x )}{sec ( x )} + \frac{sin ( x )}{csc ( x )}

(2 - 7)^{2}

What is expand (3x^3-9x+7)(x^2-2x+1) ?
The solution to expand (3x^3-9x+7)(x^2-2x+1) is 3x^5-6x^4-6x^3+25x^2-23x+7