Factor -a^2-2a-1

Math
-a2-2a-1
Factor -1 out of -a2-2a-1.
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Factor -1 out of -a2.
-(a2)-2a-1
Factor -1 out of -2a.
-(a2)-(2a)-1
Rewrite -1 as -1(1).
-(a2)-(2a)-1(1)
Factor -1 out of -(a2)-(2a).
-(a2+2a)-1(1)
Factor -1 out of -(a2+2a)-1(1).
-(a2+2a+1)
-(a2+2a+1)
Factor using the perfect square rule.
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Rewrite 1 as 12.
-(a2+2a+12)
Check that the middle term is two times the product of the numbers being squared in the first term and third term.
2a=2⋅a⋅1
Rewrite the polynomial.
-(a2+2⋅a⋅1+12)
Factor using the perfect square trinomial rule a2+2ab+b2=(a+b)2, where a=a and b=1.
-(a+1)2
-(a+1)2
Factor -a^2-2a-1

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