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

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

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

expand

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

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

Solution steps

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

Distribute parentheses

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

Simplify

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

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

36 \times 2

(x + 2)^{3} - 2 (4 x^{2} + 6 x) + 2 x^{2}

(- 6 d + 6) (2 d - 2)

\frac{x ^{2} - 8 x + 15}{x ^{2} - 6 x + 5}

(a^{m} + a^{n})^{2}

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