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

The solution to expand (x^2-2x-3)(2x^2+4x-5) is 2x^4-19x^2-2x+15

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

expand

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

2 x^{4} - 19 x^{2} - 2 x + 15

Solution steps

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

Distribute parentheses

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

Simplify

x^{2} \cdot 2 x^{2} + x^{2} \cdot 4 x + x^{2} (- 5) - 2 x \cdot 2 x^{2} - 2 x \cdot 4 x - 2 x (- 5) - 3 \cdot 2 x^{2} - 3 \cdot 4 x - 3 (- 5) : 2 x^{4} - 19 x^{2} - 2 x + 15

= 2 x^{4} - 19 x^{2} - 2 x + 15

(2 x^{3} - y^{3})^{2}

2 x^{3} - x^{2} - 20 x + 10

\frac{1}{x} - \frac{1}{x + 3}

a^{2} + 33 a + 252

\frac{2 ^{x}}{2}

What is expand (x^2-2x-3)(2x^2+4x-5) ?
The solution to expand (x^2-2x-3)(2x^2+4x-5) is 2x^4-19x^2-2x+15