We discussed the cube of 2-digit number in previous article. In this article, we shall describe the fourth power of 2-digit numbers using the same formula.

The

**of (a + b)**

*Algebraic Expression*^{4}

*(a + b)*^{4}= a^{4}+ 4a^{3}b + 6a^{2}b^{2}+ 4ab^{3}+ b^{4}We can rewrite the above equation as:

a

^{4}a

^{3}b a

^{2}b

^{2}ab

^{3}b

^{4}

^{3}b 5a

^{2}b

^{2}3ab

^{3}

So, apply the same rule which we applied in previous article, while finding cubic of the number. Consider the first term as a

^{4}and the remaining terms get multiplied by b/a with the previous term.

The Difference comes in second row, in fourth power, we multiply 2nd and 4th term by 3 and 3rd term by 5.

Example: 11

^{4}

1 1 1 1 1

3 5 3

-------------------------

1 4 6 4 1

-------------------------

Example: 32

^{4}

81 54 36 24 16

162 180 72

-------------------------------------

104 8 5 7 6

-------------------------------------

The "Binomial Theorem" is thus capable of practical application more comprehensively in Vedic Math. Here it is been utilised for splendid purpose as described above, with Vedic Sutras.

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