Consider the expression `E=(5*x+2)^2-(5*x+2)*(9*x-5)`.

Expand and reduce E.

Factor E.

Solve the equation `(7-4*x)*(2+5*x)=0`.

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This type of exercise can be solved using the function : expand_and_simplify

Algebraic calculus is a form of calculus that combines letters, numbers, and operations.
The following formulas can be used in factoring and expanding algebraic expressions.

P is a polynomial, a a real. If P(a)=0, then P is factorizable by (x-a). That is, there exists a polynomial Q such that for all x, P(x)=(x-a)Q(x).

Reduction of a literal expression

To simplify a literal expression, we group the dependent terms depending on the same letters and then we reduce each grouping, as in this example:
x+x+3y-2y=2x-y.