Factor c^2-cp-2p^2

Math
c2-cp-2p2
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.
c2-2p2-cp
Reorder -2p2 and -cp.
c2-cp-2p2
Factor -1 out of -cp.
c2-(cp)-2p2
Rewrite -1 as 1 plus -2
c2+(1-2)(cp)-2p2
Apply the distributive property.
c2+1(cp)-2(cp)-2p2
Multiply cp by 1.
c2+cp-2(cp)-2p2
Remove unnecessary parentheses.
c2+cp-2cp-2p2
c2+cp-2cp-2p2
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(c2+cp)-2cp-2p2
Factor out the greatest common factor (GCF) from each group.
c(c+p)-2p(c+p)
c(c+p)-2p(c+p)
Factor the polynomial by factoring out the greatest common factor, c+p.
(c+p)(c-2p)
Factor c^2-cp-2p^2

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