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

The solution to expand (x^4+3x^3-4x^2+5x)(3x^4-8x^2) is 3x^8+9x^7-20x^6-9x^5+32x^4-40x^3

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

expand

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

3 x^{8} + 9 x^{7} - 20 x^{6} - 9 x^{5} + 32 x^{4} - 40 x^{3}

Solution steps

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

Distribute parentheses

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

Simplify

x^{4} \cdot 3 x^{4} + x^{4} (- 8 x^{2}) + 3 x^{3} \cdot 3 x^{4} + 3 x^{3} (- 8 x^{2}) - 4 x^{2} \cdot 3 x^{4} - 4 x^{2} (- 8 x^{2}) + 5 x \cdot 3 x^{4} + 5 x (- 8 x^{2}) : 3 x^{8} + 9 x^{7} - 20 x^{6} - 9 x^{5} + 32 x^{4} - 40 x^{3}

= 3 x^{8} + 9 x^{7} - 20 x^{6} - 9 x^{5} + 32 x^{4} - 40 x^{3}

(\frac{1}{2} \cdot x^{2} + \frac{1}{3} \cdot x - 1) (\frac{3}{4} \cdot x^{2} - \frac{2}{3} \cdot x + \frac{1}{9})

\frac{r ^{2} - r}{2 r ^{2} + 5 r - 7}

x^{3} - 3 x y (x - y) - y^{3} + 1

4 x^{2} - 10 2 x - 12

\frac{( cos ^{2} ( x ) ) ^{3}}{2}

What is expand (x^4+3x^3-4x^2+5x)(3x^4-8x^2) ?
The solution to expand (x^4+3x^3-4x^2+5x)(3x^4-8x^2) is 3x^8+9x^7-20x^6-9x^5+32x^4-40x^3