Factor c^2-cf-2f^2

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

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)

Factor the polynomial by factoring out the greatest common factor, c+f.

(c+f)(c-2f)

Factor c^2-cf-2f^2