What is expand (x^2+x-6)(x^2-6x+9) ?

The solution to expand (x^2+x-6)(x^2-6x+9) is x^4-5x^3-3x^2+45x-54

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expand (x^2+x-6)(x^2-6x+9)

expand

(x^{2} + x - 6) (x^{2} - 6 x + 9)

x^{4} - 5 x^{3} - 3 x^{2} + 45 x - 54

Solution steps

(x^{2} + x - 6) (x^{2} - 6 x + 9)

Distribute parentheses

= x^{2} x^{2} + x^{2} (- 6 x) + x^{2} \cdot 9 + x x^{2} + x (- 6 x) + x \cdot 9 - 6 x^{2} - 6 (- 6 x) - 6 \cdot 9

Simplify

x^{2} x^{2} + x^{2} (- 6 x) + x^{2} \cdot 9 + x x^{2} + x (- 6 x) + x \cdot 9 - 6 x^{2} - 6 (- 6 x) - 6 \cdot 9 : x^{4} - 5 x^{3} - 3 x^{2} + 45 x - 54

= x^{4} - 5 x^{3} - 3 x^{2} + 45 x - 54

\frac{1}{x + 2 - 2}

28 \div \frac{1}{4}

(2 + 3 x)^{10}

\frac{6}{12} + \frac{10}{4}

\frac{7 2}{7}

What is expand (x^2+x-6)(x^2-6x+9) ?
The solution to expand (x^2+x-6)(x^2-6x+9) is x^4-5x^3-3x^2+45x-54