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

The solution to expand (3x^2-2x+1)(x^2-5x-1) is 3x^4-17x^3+8x^2-3x-1

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

expand

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

3 x^{4} - 17 x^{3} + 8 x^{2} - 3 x - 1

Solution steps

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

Distribute parentheses

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

Simplify

3 x^{2} x^{2} + 3 x^{2} (- 5 x) + 3 x^{2} (- 1) - 2 x x^{2} - 2 x (- 5 x) - 2 x (- 1) + 1 \cdot x^{2} + 1 \cdot (- 5 x) + 1 \cdot (- 1) : 3 x^{4} - 17 x^{3} + 8 x^{2} - 3 x - 1

= 3 x^{4} - 17 x^{3} + 8 x^{2} - 3 x - 1

3 i \cdot 3 i

(\frac{7}{4})^{- 1}

\frac{1}{80}

z (z - 3) + 4 (z - 3)

25 a^{12} - 100 a^{4} b^{10}

What is expand (3x^2-2x+1)(x^2-5x-1) ?
The solution to expand (3x^2-2x+1)(x^2-5x-1) is 3x^4-17x^3+8x^2-3x-1