Algebra Examples

Factor x^2+4x+4
x2+4x+4
Step 1
Rewrite 4 as 22.
x2+4x+22
Step 2
Check that the middle term is two times the product of the numbers being squared in the first term and third term.
4x=2x2
Step 3
Rewrite the polynomial.
x2+2x2+22
Step 4
Factor using the perfect square trinomial rule a2+2ab+b2=(a+b)2, where a=x and b=2.
(x+2)2
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 [x2  12  π  xdx ]