What is expand (x^2-5x+4)(x^2-9) ?

The solution to expand (x^2-5x+4)(x^2-9) is x^4-5x^3-5x^2+45x-36

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expand (x^2-5x+4)(x^2-9)

expand

(x^{2} - 5 x + 4) (x^{2} - 9)

x^{4} - 5 x^{3} - 5 x^{2} + 45 x - 36

Solution steps

(x^{2} - 5 x + 4) (x^{2} - 9)

Distribute parentheses

= x^{2} x^{2} + x^{2} (- 9) - 5 x x^{2} - 5 x (- 9) + 4 x^{2} + 4 (- 9)

Simplify

x^{2} x^{2} + x^{2} (- 9) - 5 x x^{2} - 5 x (- 9) + 4 x^{2} + 4 (- 9) : x^{4} - 5 x^{3} - 5 x^{2} + 45 x - 36

= x^{4} - 5 x^{3} - 5 x^{2} + 45 x - 36

5 - \frac{1}{4}

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

4 (2 - 3 w) (w^{2} - 2 w + 10)

(\frac{\frac{6}{7}}{\frac{4}{5}})^{3}

\frac{4 x ^{2}}{2 x}

What is expand (x^2-5x+4)(x^2-9) ?
The solution to expand (x^2-5x+4)(x^2-9) is x^4-5x^3-5x^2+45x-36