You can put this solution on YOUR website! Factor completely.
4x^2 + 3xy + 4x + 3y
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Rearrange as follows:
4x^2+4x+3xy+3y
Factor the 1st two and the last two terms separately:
4x(x+1)+3y(x+1)
Facgtor again:
(x+1)(4x+3y)
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Cheers,
Stan H.