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Simplification

Some signs in mathematics are implicit, that is, they do not need to be written.

If an expression, for instance, contains two times x, the multiply sign between 2 and x is usually not written.

2*x=2x

The same applies, when a number is multiplied to parentheses.

2*(x+1)=2(x+1)

The plus signs in front of a numbers are also usually omitted.
For example:
The addition of 1 and 2 is written like 1 + 2 = 3, not +1+2=+3.

Exponents can be used to simplify mathematical expressions.
The expression a*b*c*c*c can be simplified by substituting the three times c with c raised to the third exponent.

a*b*c^3

And it can be even more simplified, because we do not need to write the times signs either:

a*b*c*c*c=a*b*c^3=abc^3

If 1 is the factor of something it is usually omitted too. Instead of writing 1a, you can just write a.

1a+1b=a+b