Algebra Examples

Factor x^4+x^2+1
x4+x2+1
Step 1
Rewrite the middle term.
x4+2x21-x2+1
Step 2
Rearrange terms.
x4+2x21+1-x2
Step 3
Factor first three terms by perfect square rule.
(x2+1)2-x2
Step 4
Since both terms are perfect squares, factor using the difference of squares formula, a2-b2=(a+b)(a-b) where a=x2+1 and b=x.
(x2+1+x)(x2+1-x)
Step 5
Simplify.
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Step 5.1
Reorder terms.
(x2+x+1)(x2+1-x)
Step 5.2
Reorder terms.
(x2+x+1)(x2-x+1)
(x2+x+1)(x2-x+1)
x4+x2+1
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 [x2  12  π  xdx ]