Algebra Examples

Factor y^3-8
y38
Step 1
Rewrite 8 as 23.
y323
Step 2
Since both terms are perfect cubes, factor using the difference of cubes formula, a3b3=(ab)(a2+ab+b2) where a=y and b=2.
(y2)(y2+y2+22)
Step 3
Simplify.
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Step 3.1
Move 2 to the left of y.
(y2)(y2+2y+22)
Step 3.2
Raise 2 to the power of 2.
(y2)(y2+2y+4)
(y2)(y2+2y+4)
 x2  12  π  xdx