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

The solution to expand (2x-5)(4x^3-7x^2+2x-3) is 8x^4-34x^3+39x^2-16x+15

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

expand

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

8 x^{4} - 34 x^{3} + 39 x^{2} - 16 x + 15

Solution steps

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

Distribute parentheses

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

Simplify

2 x \cdot 4 x^{3} + 2 x (- 7 x^{2}) + 2 x \cdot 2 x + 2 x (- 3) - 5 \cdot 4 x^{3} - 5 (- 7 x^{2}) - 5 \cdot 2 x - 5 (- 3) : 8 x^{4} - 34 x^{3} + 39 x^{2} - 16 x + 15

= 8 x^{4} - 34 x^{3} + 39 x^{2} - 16 x + 15

ln (\frac{1}{e ^{11}})

4 - 4 x^{2}

(x - 1) (x + 1) - 3 x (x^{2} - 2 x - 1)

\frac{1}{2} \div \frac{3}{8}

9 + 5 r - 9 r

What is expand (2x-5)(4x^3-7x^2+2x-3) ?
The solution to expand (2x-5)(4x^3-7x^2+2x-3) is 8x^4-34x^3+39x^2-16x+15