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

The solution to expand (3x^2-5x+3)(-2x^2-3x+2) is -6x^4+x^3+15x^2-19x+6

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

expand

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

- 6 x^{4} + x^{3} + 15 x^{2} - 19 x + 6

Solution steps

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

Distribute parentheses

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

Simplify

3 x^{2} (- 2 x^{2}) + 3 x^{2} (- 3 x) + 3 x^{2} \cdot 2 - 5 x (- 2 x^{2}) - 5 x (- 3 x) - 5 x \cdot 2 + 3 (- 2 x^{2}) + 3 (- 3 x) + 3 \cdot 2 : - 6 x^{4} + x^{3} + 15 x^{2} - 19 x + 6

= - 6 x^{4} + x^{3} + 15 x^{2} - 19 x + 6

3 x^{2} + 108

\frac{8 x ^{2} y ^{2}}{4 x ^{5} y ^{4}}

\frac{11}{3} - 1

6 \times 10

6 \times 15

What is expand (3x^2-5x+3)(-2x^2-3x+2) ?
The solution to expand (3x^2-5x+3)(-2x^2-3x+2) is -6x^4+x^3+15x^2-19x+6