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10x^{2}+2x-2x+4xy
Combine 4x^{2} and 6x^{2} to get 10x^{2}.
10x^{2}+4xy
Combine 2x and -2x to get 0.
2\left(2x^{2}+x+3x^{2}-x+2xy\right)
Factor out 2.
x\left(5x+2y\right)
Consider 2x^{2}+x+3x^{2}-x+2xy. Factor out x.
5x+2y
Consider 2x+1+3x-1+2y. Multiply and combine like terms.
2x\left(5x+2y\right)
Rewrite the complete factored expression.