Here is a list of important algebraic formulas that you would probably find very helpful during your preparations and also to refresh your basics.

### - Square Formulas -

**(a+b)²** = a²+ 2ab + b²

**(a – b)²** = a² – 2ab + b²

**a² – b²** = (a – b)(a + b)

**(x+a)(x+b)** = x² +(a+b)x + ab

**(a + b + c)²** = a²+ b² + c² + 2ab + 2ac + 2bc

**(a – b – c)² **= a² + b² + c²– 2ab – 2ac + 2bc

**((a+(-b)+(-c))²** = a² + (-b)² + (-c)² +2a(-b)+2(-b)(-c)+ 2a(-c)

### - Cube Formulas -

**(a + b) ^{3} **= a

^{3}+ 3a

^{2}b + 3ab

^{2}+ b

^{3}

**(a – b) ^{3}** = a

^{3}– 3a

^{2}b + 3ab

^{2}– b

^{3}

**a ^{3} + b^{3} **= (a + b)(a

^{2}– ab + b

^{2})

**a ^{3} – b^{3}** = (a – b)(a

^{2}+ ab + b

^{2})

**(a + b) ^{3}** = a

^{3}+ 3a

^{2}b + 3ab

^{2}+ b

^{3}; (a + b)

^{3}= a

^{3}+ b

^{3}+ 3ab(a + b)

** a ^{3} + b^{3 }+ c^{3 }– 3abc** = (a+b+c) (a

^{2}+b

^{2}+c

^{2}– ab – bc – ac)

### - Power n Formula -

**a ^{n} – b^{n}** = (a – b)(a

^{n-1}+ a

^{n-2}b+…+ b

^{n-2}a + b

^{n-1})

### - Laws of Exponents -

**√a** = a¼

**a ^{0}** = 1

** ^{3}√a **= a

^{1/3}

** ^{n}√a** = a

^{1/n}

**(a ^{m})(a^{n})** = a

^{m+n}

**a ^{m}/ a^{n }**= a

^{m-n}

** (ab) ^{m}** = a

^{m}b

^{m}

**(a ^{m})^{n} **= a

^{mn}