106k views
3 votes
Factor p^2−6−q·(p^2−6)^2

User Supershnee
by
8.7k points

2 Answers

4 votes

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}

User Marek Szkudelski
by
8.8k points
2 votes

Answer:

(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))

User Phindmarsh
by
8.6k points

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