What is expand (3x^2-5x-7)(x^2-4x+2) ?

The solution to expand (3x^2-5x-7)(x^2-4x+2) is 3x^4-17x^3+19x^2+18x-14

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expand (3x^2-5x-7)(x^2-4x+2)

expand

(3 x^{2} - 5 x - 7) (x^{2} - 4 x + 2)

3 x^{4} - 17 x^{3} + 19 x^{2} + 18 x - 14

Solution steps

(3 x^{2} - 5 x - 7) (x^{2} - 4 x + 2)

Distribute parentheses

= 3 x^{2} x^{2} + 3 x^{2} (- 4 x) + 3 x^{2} \cdot 2 - 5 x x^{2} - 5 x (- 4 x) - 5 x \cdot 2 - 7 x^{2} - 7 (- 4 x) - 7 \cdot 2

Simplify

3 x^{2} x^{2} + 3 x^{2} (- 4 x) + 3 x^{2} \cdot 2 - 5 x x^{2} - 5 x (- 4 x) - 5 x \cdot 2 - 7 x^{2} - 7 (- 4 x) - 7 \cdot 2 : 3 x^{4} - 17 x^{3} + 19 x^{2} + 18 x - 14

= 3 x^{4} - 17 x^{3} + 19 x^{2} + 18 x - 14

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

\frac{5}{x + 1} - \frac{5}{x}

\frac{1}{\frac{5}{3}}

10 x^{2} - 21 x + 2

((3)^{3})^{4}

What is expand (3x^2-5x-7)(x^2-4x+2) ?
The solution to expand (3x^2-5x-7)(x^2-4x+2) is 3x^4-17x^3+19x^2+18x-14