What is expand (3x^2-4x+1)(-x-5) ?

The solution to expand (3x^2-4x+1)(-x-5) is -3x^3-11x^2+19x-5

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expand (3x^2-4x+1)(-x-5)

expand

(3 x^{2} - 4 x + 1) (- x - 5)

- 3 x^{3} - 11 x^{2} + 19 x - 5

Solution steps

(3 x^{2} - 4 x + 1) (- x - 5)

Distribute parentheses

= 3 x^{2} (- x) + 3 x^{2} (- 5) - 4 x (- x) - 4 x (- 5) + 1 \cdot (- x) + 1 \cdot (- 5)

Simplify

3 x^{2} (- x) + 3 x^{2} (- 5) - 4 x (- x) - 4 x (- 5) + 1 \cdot (- x) + 1 \cdot (- 5) : - 3 x^{3} - 11 x^{2} + 19 x - 5

= - 3 x^{3} - 11 x^{2} + 19 x - 5

(2 + 7) (2 - 7)

(2 x + 5) (3 x + 7)

\frac{2 ^{- 3} + 3 ^{- 2}}{2 ^{- 2}}

\frac{( x ^{2} + 6 x + 8 )}{( x + 2 )}

\frac{27}{15}

What is expand (3x^2-4x+1)(-x-5) ?
The solution to expand (3x^2-4x+1)(-x-5) is -3x^3-11x^2+19x-5