Factor 3r^2+5ry-2y^2

Math
3r2+5ry-2y2
Factor by grouping.
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For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=3⋅-2=-6 and whose sum is b=5.
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Reorder terms.
3r2-2y2+5ry
Reorder -2y2 and 5ry.
3r2+5ry-2y2
Factor 5 out of 5ry.
3r2+5(ry)-2y2
Rewrite 5 as -1 plus 6
3r2+(-1+6)(ry)-2y2
Apply the distributive property.
3r2-1(ry)+6(ry)-2y2
Remove unnecessary parentheses.
3r2-1ry+6(ry)-2y2
Remove unnecessary parentheses.
3r2-1ry+6ry-2y2
3r2-1ry+6ry-2y2
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(3r2-1ry)+6ry-2y2
Factor out the greatest common factor (GCF) from each group.
r(3r-1y)+2y(3r-y)
r(3r-1y)+2y(3r-y)
Factor the polynomial by factoring out the greatest common factor, 3r-1y.
(3r-1y)(r+2y)
(3r-1y)(r+2y)
Rewrite -1y as -y.
(3r-y)(r+2y)
Factor 3r^2+5ry-2y^2

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