Algebraic fractions
To simplify algebraic fractions, you need to keep basic algebraic formulae and stick to order of operations:
Step 1:
Evaluate the parentheses
Step 2:
Evaluate the powers (exponents and roots)
Step 3:
Multiply or divide from left to right
Step 4:
Add or subtract
Also follow these formulae:
$$a(b+c)=ab+ac$$ |
$${a+b}/c=a/c+b/c$$ |
$$a^2=a×a$$ |
$$a^1=a$$ |
$$a^0=1$$ |
$$a^{−1}=1/a$$ |
$$a^{−n}=1/{a^n}$$ |
$$a^m×a^n=a^m a^n=$$ $$a^{(m+n)}$$ |
$${a^m}/{a^n}=a^{m−n}$$ |
$$(a^m)^n=a^{(m×n)}$$ |
$$a^{1/n}=√^{n}a$$ |
$$√^n{a}√^n{b}=√^n{ab}$$ |
$$√{ab}=√a×√b$$ |
$$(a+b)^2=(a+b)(a+b)=$$ $$a^2+2ab+b^2$$ |
$$(a−b)^2=(a−b)(a−b)=$$ $$a^2−2ab+b^2$$ |
$$a^2−b^2=$$ $$(a+b)(a−b)$$ |
$$(a+b)^3=$$ $$a^3+3a^2b+3ab^2+b^3$$ |
$$(a−b)^3=$$ $$a^3−3a^2b+3ab^2−b^3$$ |
