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

The solution to expand (p^2+p-6)(p^2-6) is p^4+p^3-12p^2-6p+36

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

expand

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

p^{4} + p^{3} - 12 p^{2} - 6 p + 36

Solution steps

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

Distribute parentheses

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

Simplify

p^{2} p^{2} + p^{2} (- 6) + p p^{2} + p (- 6) - 6 p^{2} - 6 (- 6) : p^{4} + p^{3} - 12 p^{2} - 6 p + 36

= p^{4} + p^{3} - 12 p^{2} - 6 p + 36

x + x^{5}

\frac{14}{21}

(x + 8) (x + 3)

\frac{\frac{2 x + 1}{2}}{\frac{2 x ^{2} + 7 x + 3}{6}}

\frac{x ^{2} - x - 20}{3 x - 15}

What is expand (p^2+p-6)(p^2-6) ?
The solution to expand (p^2+p-6)(p^2-6) is p^4+p^3-12p^2-6p+36