Factor 21x^2y^2+11xy-2

Math
21x2y2+11xy-2
Rewrite x2y2 as (xy)2.
21(xy)2+11(xy)-2
Let u=xy. Substitute u for all occurrences of xy.
21u2+11u-2
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=21⋅-2=-42 and whose sum is b=11.
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Factor 11 out of 11u.
21u2+11(u)-2
Rewrite 11 as -3 plus 14
21u2+(-3+14)u-2
Apply the distributive property.
21u2-3u+14u-2
21u2-3u+14u-2
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(21u2-3u)+14u-2
Factor out the greatest common factor (GCF) from each group.
3u(7u-1)+2(7u-1)
3u(7u-1)+2(7u-1)
Factor the polynomial by factoring out the greatest common factor, 7u-1.
(7u-1)(3u+2)
(7u-1)(3u+2)
Replace all occurrences of u with xy.
(7(xy)-1)(3(xy)+2)
Simplify.
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Remove parentheses.
(7xy-1)(3(xy)+2)
Remove parentheses.
(7xy-1)(3xy+2)
(7xy-1)(3xy+2)
Factor 21x^2y^2+11xy-2

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