SOLUTION: wHAT IS FACTORING AND HOW DO I FACTOR SOMETHING LIKE THIS: X TO THE 2ND POWER MINUS XY PLUS 2X MINUS 2Y

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Question 49049: wHAT IS FACTORING AND HOW DO I FACTOR SOMETHING LIKE THIS: X TO THE 2ND POWER MINUS XY PLUS 2X MINUS 2Y
Found 2 solutions by Nate, venugopalramana:
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
Factoring is making something shorter by finding prime values that multiply to get your result.
x%5E2+-+xy+%2B+2x+-+2y
x%28x+-+y%29+%2B+2%28x+-+y%29
%28x+-+y%29%28x+%2B+2%29

Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
wHAT IS FACTORING AND HOW DO I FACTOR SOMETHING LIKE THIS: X TO THE 2ND POWER MINUS XY PLUS 2X MINUS 2Y
FACTORING MEANS TO CONVERT THE GIVEN POLYNOMIAL IN TO A MONOMIAL.THAT IS HERE WE HAVE IN YOUR EXAMPLE
X^2-XY+2X-2Y...HAS 4 TERMS...WE HAVE TO WRITE IT AS A PRODUCT OF MONOMIALS WHICH WILL BE A MONOMIAL.WE DO IT USING COMMON FACTORS/FORMULAE ON IDENTITIES ETC...
WE HAVE HERE
=X(X-Y)+2(X-Y)=(X-Y)(X+2)...WITHIN BRACKETS IT IS CONSIDERED AS 1 TERM .PRODUCT ALSO KEEPS IT AS ONE TERM ONLY.