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Expand and simplify polynomials

This calculator simplifies polynomial expressions.

Example 1: to simplify $(x-1)(x+1)$ type (x - 1)( x + 1).

Example 2: to expand $(a + 2b - c)^3$ type (a + 2b - c)^3.

Example 3: to simplify $\left(27(2/3-2x)^3-8(1-9x)\right)/(216x^2)$ type (27(2/3-2x)^3-8(1-9x))/(216x^2).

Expand and simplify polynomial expressions
example 1:
$(4x^2 - 4x - 7)(x + 3)-x(4x^2+8x-19) = $
example 2:
$(a+b)^2-(a-b)^2 = $
example 3:
$(x+y+z)^3-(x+y-z)^3 = $
div
example 4:
$\frac{2x+3}{4} - \frac{2x-1}{2} = $
div
example 5:
$\frac{a+b+c}{3} - \frac{a-b+c}{6} - \frac{a+b-c}{6} = $

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