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

Math
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
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)
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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