Factor c^2-cf-2f^2

Math
c2-cf-2f2
For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=1⋅-2=-2 and whose sum is b=-1.
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Reorder terms.
c2-2f2-cf
Reorder -2f2 and -cf.
c2-cf-2f2
Factor -1 out of -cf.
c2-(cf)-2f2
Rewrite -1 as 1 plus -2
c2+(1-2)(cf)-2f2
Apply the distributive property.
c2+1(cf)-2(cf)-2f2
Multiply cf by 1.
c2+cf-2(cf)-2f2
Remove unnecessary parentheses.
c2+cf-2cf-2f2
c2+cf-2cf-2f2
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(c2+cf)-2cf-2f2
Factor out the greatest common factor (GCF) from each group.
c(c+f)-2f(c+f)
c(c+f)-2f(c+f)
Factor the polynomial by factoring out the greatest common factor, c+f.
(c+f)(c-2f)
Factor c^2-cf-2f^2

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