Question

Factor p^2−6−q·(p^2−6)^2

Answer 1

Assignment:
`\bold{Factor \ Equation: \ p^2-6-q\left(p^2-6\right)^2}`

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Answer:
`\boxed{\bold{\left(p^2-6\right)\left(-p^2q+6q+1\right)}}`

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Explanation:
`\downarrow\downarrow\downarrow`

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[ Step One ] Factor Out Common Term
`\bold{\left(p^2-6\right)}`

`\bold{\left(p^2-6\right)\left(-q\left(p^2-6\right)+1\right)}`

[ Step Two ] Expand
`\bold{-q\left(p^2-6\right)+1}`

`\bold{-p^2q+6q+1}`

[ Step Three ] Rewrite Equation

`\bold{\left(p^2-6\right)\left(-p^2q+6q+1\right)}`

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`\bold{\rightarrow Mordancy \leftarrow}`

Answer 2

(p^2−6) (1-q(p^2-6))

Explanation:

p^2−6−q·(p^2−6)^2

Put parentheses around the P^2-6 at the beginning of the expression

(p^2-6) -q (p^2−6)^2

Factor out (p^2−6)

(p^2−6) (1-q(p^2-6))