Simplify (3u^2+11u+15)/(2u^2+3u-20)

Math
3u2+11u+152u2+3u-20
For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=2⋅-20=-40 and whose sum is b=3.
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Factor 3 out of 3u.
3u2+11u+152u2+3(u)-20
Rewrite 3 as -5 plus 8
3u2+11u+152u2+(-5+8)u-20
Apply the distributive property.
3u2+11u+152u2-5u+8u-20
3u2+11u+152u2-5u+8u-20
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
3u2+11u+15(2u2-5u)+8u-20
Factor out the greatest common factor (GCF) from each group.
3u2+11u+15u(2u-5)+4(2u-5)
3u2+11u+15u(2u-5)+4(2u-5)
Factor the polynomial by factoring out the greatest common factor, 2u-5.
3u2+11u+15(2u-5)(u+4)
Simplify (3u^2+11u+15)/(2u^2+3u-20)

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