Factor p^2+7pq-98q^2

p2+7pq-98q2

For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=1⋅-98=-98 and whose sum is b=7.

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Reorder terms.

p2-98q2+7pq

Reorder -98q2 and 7pq.

p2+7pq-98q2

Factor 7 out of 7pq.

p2+7(pq)-98q2

Rewrite 7 as -7 plus 14

p2+(-7+14)(pq)-98q2

Apply the distributive property.

p2-7(pq)+14(pq)-98q2

Remove unnecessary parentheses.

p2-7pq+14(pq)-98q2

Remove unnecessary parentheses.

p2-7pq+14pq-98q2

Factor out the greatest common factor from each group.

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Group the first two terms and the last two terms.

(p2-7pq)+14pq-98q2

Factor out the greatest common factor (GCF) from each group.

p(p-7q)+14q(p-7q)

Factor the polynomial by factoring out the greatest common factor, p-7q.

(p-7q)(p+14q)

Factor p^2+7pq-98q^2

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