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

The solution to expand (5x-3)(x^3-5x+2) is 5x^4-3x^3-25x^2+25x-6

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

expand

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

5 x^{4} - 3 x^{3} - 25 x^{2} + 25 x - 6

Solution steps

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

Distribute parentheses

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

Simplify

5 x x^{3} + 5 x (- 5 x) + 5 x \cdot 2 - 3 x^{3} - 3 (- 5 x) - 3 \cdot 2 : 5 x^{4} - 3 x^{3} - 25 x^{2} + 25 x - 6

= 5 x^{4} - 3 x^{3} - 25 x^{2} + 25 x - 6

(x + 4)^{6}

\frac{72}{15}

\frac{( \frac{1}{5} ) ^{2}}{( \frac{1}{2} ) ^{3} + \frac{5}{3}}

ln (x^{2} (x + 2))

\frac{2}{2 - 3}

What is expand (5x-3)(x^3-5x+2) ?
The solution to expand (5x-3)(x^3-5x+2) is 5x^4-3x^3-25x^2+25x-6