What is expand (p^2+p-6)(p^2-2p+1) ?

The solution to expand (p^2+p-6)(p^2-2p+1) is p^4-p^3-7p^2+13p-6

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expand (p^2+p-6)(p^2-2p+1)

expand

(p^{2} + p - 6) (p^{2} - 2 p + 1)

p^{4} - p^{3} - 7 p^{2} + 13 p - 6

Solution steps

(p^{2} + p - 6) (p^{2} - 2 p + 1)

Distribute parentheses

= p^{2} p^{2} + p^{2} (- 2 p) + p^{2} \cdot 1 + p p^{2} + p (- 2 p) + p \cdot 1 - 6 p^{2} - 6 (- 2 p) - 6 \cdot 1

Simplify

p^{2} p^{2} + p^{2} (- 2 p) + p^{2} \cdot 1 + p p^{2} + p (- 2 p) + p \cdot 1 - 6 p^{2} - 6 (- 2 p) - 6 \cdot 1 : p^{4} - p^{3} - 7 p^{2} + 13 p - 6

= p^{4} - p^{3} - 7 p^{2} + 13 p - 6

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

(x + 10 y) (x - 10 y)

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

(8 mn + 7 m)^{2}

- 5 + 5 (x + 4)

What is expand (p^2+p-6)(p^2-2p+1) ?
The solution to expand (p^2+p-6)(p^2-2p+1) is p^4-p^3-7p^2+13p-6