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

The solution to expand (x^2-2)(x^2+3x+5) is x^4+3x^3+3x^2-6x-10

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

expand

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

x^{4} + 3 x^{3} + 3 x^{2} - 6 x - 10

Solution steps

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

Distribute parentheses

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

Simplify

x^{2} x^{2} + x^{2} \cdot 3 x + x^{2} \cdot 5 - 2 x^{2} - 2 \cdot 3 x - 2 \cdot 5 : x^{4} + 3 x^{3} + 3 x^{2} - 6 x - 10

= x^{4} + 3 x^{3} + 3 x^{2} - 6 x - 10

\frac{36}{48}

- 2 - \frac{12}{3}

(2 x - 3)^{5}

\frac{2 x ^{3}}{( x ^{- 1} ) ^{3}}

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

What is expand (x^2-2)(x^2+3x+5) ?
The solution to expand (x^2-2)(x^2+3x+5) is x^4+3x^3+3x^2-6x-10