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# Decimal Fractions Formula

**Decimal Fractions**

Fractions in which denominators are power of 10 are known as decimal fractions

**Basic Formulae**

- (a + b)(a - b) = (a
^{2}- b^{2}) - (a + b)
^{2}= (a^{2}+ b^{2}+ 2ab) - (a - b)
^{2}= (a^{2}+ b^{2}- 2ab) - (a + b + c)
^{2}= a^{2}+ b^{2}+ c^{2}+ 2(ab + bc + ca) - (a
^{3}+ b^{3}) = (a + b)(a^{2}- ab + b^{2}) - (a
^{3}- b^{3}) = (a - b)(a^{2}+ ab + b^{2}) - (a
^{3}+ b^{3}+ c^{3}- 3abc ) = (a + b + c) (a^{2}+ b^{2}+ c^{2}- ab - bc - ac ) - When a + b + c = 0, then a
^{3}+ b^{3}+ c^{3}= 3abc