How does Vedic Maths simplify complex calculations?

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The most immediate benefit of Vedic maths is the simplification of complex calculations. From arithmetic to algebra, the techniques of Vedic maths can break down seemingly intimidating problems into manageable parts, making the process of solving them much simpler and more intuitive.
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What is value of a & b.. in each case,

If a^b + b^a=45

If a^b X b^a=45

If a^b - b^a=45

1^44+44^1=45 So, a=1 & b=44 1^45*45^1=45 So, a=1 & b=45 46^1-1^46=45 So, a=46 & b=1
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