Factor 6k^2+11kp-35p^2

Math
6k2+11kp-35p2
For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=6⋅-35=-210 and whose sum is b=11.
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Reorder terms.
6k2-35p2+11kp
Reorder -35p2 and 11kp.
6k2+11kp-35p2
Factor 11 out of 11kp.
6k2+11(kp)-35p2
Rewrite 11 as -10 plus 21
6k2+(-10+21)(kp)-35p2
Apply the distributive property.
6k2-10(kp)+21(kp)-35p2
Remove unnecessary parentheses.
6k2-10kp+21(kp)-35p2
Remove unnecessary parentheses.
6k2-10kp+21kp-35p2
6k2-10kp+21kp-35p2
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(6k2-10kp)+21kp-35p2
Factor out the greatest common factor (GCF) from each group.
2k(3k-5p)+7p(3k-5p)
2k(3k-5p)+7p(3k-5p)
Factor the polynomial by factoring out the greatest common factor, 3k-5p.
(3k-5p)(2k+7p)
Factor 6k^2+11kp-35p^2

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