What is expand (k^2-5k-2)(k^2+2) ?

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

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expand (k^2-5k-2)(k^2+2)

expand

(k^{2} - 5 k - 2) (k^{2} + 2)

k^{4} - 5 k^{3} - 10 k - 4

Solution steps

(k^{2} - 5 k - 2) (k^{2} + 2)

Distribute parentheses

= k^{2} k^{2} + k^{2} \cdot 2 - 5 k k^{2} - 5 k \cdot 2 - 2 k^{2} - 2 \cdot 2

Simplify

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

= k^{4} - 5 k^{3} - 10 k - 4

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

2 + (- 4)

\frac{11}{7}

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

\frac{21}{35}

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