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

The solution to expand (x^2+2x-5)(x^2-2x-1) is x^4-10x^2+8x+5

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

expand

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

x^{4} - 10 x^{2} + 8 x + 5

Solution steps

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

Distribute parentheses

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

Simplify

x^{2} x^{2} + x^{2} (- 2 x) + x^{2} (- 1) + 2 x x^{2} + 2 x (- 2 x) + 2 x (- 1) - 5 x^{2} - 5 (- 2 x) - 5 (- 1) : x^{4} - 10 x^{2} + 8 x + 5

= x^{4} - 10 x^{2} + 8 x + 5

1 + 3.3 lo g_{10} (60)

\frac{\frac{x ^{3} + 125}{x ^{2} - 64}}{\frac{x ^{3} - 5 x ^{2} + 25 x}{x ^{2} + x - 56}}

\frac{2 x ^{5} y ^{8}}{8 x ^{3} y ^{8}}

(x - 1) (2 x - 8)

lo g_{5} (64) \cdot lo g_{2} (5)

What is expand (x^2+2x-5)(x^2-2x-1) ?
The solution to expand (x^2+2x-5)(x^2-2x-1) is x^4-10x^2+8x+5