Literal Calculation

Developing and Factorizing Equations

For any real numbers:

• $a(b+c)=ab+ac$
• $a(b-c)=ab-ac$
• $(a+b)(c+d)=ac+ad+bc+bd$

Remarkable Identities

For any real numbers:

• Square of a sum: $(a+b{)}^2=a^2+2ab+b^2$
• Square of a difference: $(a-b{)}^2=a^2-2ab+b^2$
• Difference of two squares: $a^2-b^2=(a+b)(a-b)$

Powers and Exponents

For any non-null natural integer:

• $a^n=\underset{n}{\underbrace{a*a*a*\cdots *a}}$
• When $n=0;a^0=1$
• If n is a natural integer et a is a non-null real number: $a^{-n}=\frac{1}{a^n}$