You can
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factor by grouping
10x^2 - 12xy + 35xy - 42y^2
Be sure to group the term in such a way that they will have common factor.
(10x^2 + 35xy) + (-12xy - 42y^2)
5x(2x + 7y) + (-6y)(2x + 7y)
Notice that the common factor after grouping emerge (2x + 7y)
factor common term
(2x + 7y)(5x - 6y)
that simple.
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