Factor 3c+2-(9c^2-3c-6)

Math
3c+2-(9c2-3c-6)
Apply the distributive property.
3c+2-(9c2)-(-3c)–6
Simplify.
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Multiply 9 by -1.
3c+2-9c2-(-3c)–6
Multiply -3 by -1.
3c+2-9c2+3c–6
Multiply -1 by -6.
3c+2-9c2+3c+6
3c+2-9c2+3c+6
Add 3c and 3c.
6c+2-9c2+6
Add 2 and 6.
6c-9c2+8
Reorder terms.
-9c2+6c+8
Rewrite -9c2+6c+8 in a factored form.
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Factor -1 out of -9c2+6c+8.
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Factor -1 out of -9c2.
-(9c2)+6c+8
Factor -1 out of 6c.
-(9c2)-(-6c)+8
Rewrite 8 as -1(-8).
-(9c2)-(-6c)-1(-8)
Factor -1 out of -(9c2)-(-6c).
-(9c2-6c)-1(-8)
Factor -1 out of -(9c2-6c)-1(-8).
-(9c2-6c-8)
-(9c2-6c-8)
Factor.
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Factor by grouping.
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For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=9⋅-8=-72 and whose sum is b=-6.
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Factor -6 out of -6c.
-(9c2-6(c)-8)
Rewrite -6 as 6 plus -12
-(9c2+(6-12)c-8)
Apply the distributive property.
-(9c2+6c-12c-8)
-(9c2+6c-12c-8)
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
-((9c2+6c)-12c-8)
Factor out the greatest common factor (GCF) from each group.
-(3c(3c+2)-4(3c+2))
-(3c(3c+2)-4(3c+2))
Factor the polynomial by factoring out the greatest common factor, 3c+2.
-((3c+2)(3c-4))
-((3c+2)(3c-4))
Remove unnecessary parentheses.
-(3c+2)(3c-4)
-(3c+2)(3c-4)
-(3c+2)(3c-4)
Factor 3c+2-(9c^2-3c-6)

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