Question 168711
{{{x^2-15wy+3xy-5wx}}} Start with the given expression



{{{(x^2+3xy)+(-15wy-5wx)}}} Group like terms



{{{x(x+3y)+(-15wy-5wx)}}} Factor out the GCF "x" from the first group



{{{x(x+3y)-5w(3y+x)}}} Factor out the GCF "-5w" from the first group



{{{x(x+3y)-5w(x+3y)}}} Rearrange {{{3y+x}}} to get {{{x+3y}}}



{{{(x-5w)(x+3y)}}} Combine like terms.



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Answer:



So {{{x^2-15wy+3xy-5wx}}} completely factors to {{{(x-5w)(x+3y)}}}