14xy - 21x + 7
'7' is a common factor to all three coefficients. So 'take it out'.
Hence
7(2xy - 3x + 1)
The rest of it , inside the brackets does not factor.
However, I suspect the 'y' should be a 'power of 2'
Hence
7(2x^(2) - 3x + 1)
This factors to
7(2x - 1)(x - 1) Fully factored.!!!!
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It is (x+6)(x+7) when factored
2x(y - 3) + 7(y - 3) = (2x + 7)(y - 3)
(5x + 2)(x + 3)
X2 + 4xx(x + 4)=======
It is (x+5)(x+1) when factored