What is expand (3x^2+5x-6)(8x^2-3x+4) ?

The solution to expand (3x^2+5x-6)(8x^2-3x+4) is 24x^4+31x^3-51x^2+38x-24

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expand (3x^2+5x-6)(8x^2-3x+4)

expand

(3 x^{2} + 5 x - 6) (8 x^{2} - 3 x + 4)

24 x^{4} + 31 x^{3} - 51 x^{2} + 38 x - 24

Solution steps

(3 x^{2} + 5 x - 6) (8 x^{2} - 3 x + 4)

Distribute parentheses

= 3 x^{2} \cdot 8 x^{2} + 3 x^{2} (- 3 x) + 3 x^{2} \cdot 4 + 5 x \cdot 8 x^{2} + 5 x (- 3 x) + 5 x \cdot 4 - 6 \cdot 8 x^{2} - 6 (- 3 x) - 6 \cdot 4

Simplify

3 x^{2} \cdot 8 x^{2} + 3 x^{2} (- 3 x) + 3 x^{2} \cdot 4 + 5 x \cdot 8 x^{2} + 5 x (- 3 x) + 5 x \cdot 4 - 6 \cdot 8 x^{2} - 6 (- 3 x) - 6 \cdot 4 : 24 x^{4} + 31 x^{3} - 51 x^{2} + 38 x - 24

= 24 x^{4} + 31 x^{3} - 51 x^{2} + 38 x - 24

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

z^{2} - 3 z + 2

\frac{\frac{1}{2}}{1 - \frac{1}{2}}

\frac{15 !}{13 !}

What is expand (3x^2+5x-6)(8x^2-3x+4) ?
The solution to expand (3x^2+5x-6)(8x^2-3x+4) is 24x^4+31x^3-51x^2+38x-24