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

The solution to expand (q^2-2q+5)(q^2-5) is q^4-2q^3+10q-25

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

expand

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

q^{4} - 2 q^{3} + 10 q - 25

Solution steps

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

Distribute parentheses

= q^{2} q^{2} + q^{2} (- 5) - 2 q q^{2} - 2 q (- 5) + 5 q^{2} + 5 (- 5)

Simplify

q^{2} q^{2} + q^{2} (- 5) - 2 q q^{2} - 2 q (- 5) + 5 q^{2} + 5 (- 5) : q^{4} - 2 q^{3} + 10 q - 25

= q^{4} - 2 q^{3} + 10 q - 25

(2 + 4 i) + (4 - i)

i^{97}

\frac{x ^{2} - 11 x + 18}{x ^{2} + 2 x - 8}

15 y^{2} + 16 y - 15

\frac{tan ^{2} ( x )}{sec ( x ) + 1} + 1

What is expand (q^2-2q+5)(q^2-5) ?
The solution to expand (q^2-2q+5)(q^2-5) is q^4-2q^3+10q-25