What is expand (2x^2-3x+6)(3x^2+2x-10) ?

The solution to expand (2x^2-3x+6)(3x^2+2x-10) is 6x^4-5x^3-8x^2+42x-60

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expand (2x^2-3x+6)(3x^2+2x-10)

expand

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

6 x^{4} - 5 x^{3} - 8 x^{2} + 42 x - 60

Solution steps

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

Distribute parentheses

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

Simplify

2 x^{2} \cdot 3 x^{2} + 2 x^{2} \cdot 2 x + 2 x^{2} (- 10) - 3 x \cdot 3 x^{2} - 3 x \cdot 2 x - 3 x (- 10) + 6 \cdot 3 x^{2} + 6 \cdot 2 x + 6 (- 10) : 6 x^{4} - 5 x^{3} - 8 x^{2} + 42 x - 60

= 6 x^{4} - 5 x^{3} - 8 x^{2} + 42 x - 60

\frac{f ( x ) - f ( a )}{x - a}

- (- 5.8 d - 3 f - 4)

1 - \frac{1}{1 - \frac{1}{1 - x}}

\frac{5}{8} \cdot 8

- (- 7 x + 3.2 y + 8.3)

What is expand (2x^2-3x+6)(3x^2+2x-10) ?
The solution to expand (2x^2-3x+6)(3x^2+2x-10) is 6x^4-5x^3-8x^2+42x-60