Question

Simplify .......
103×104

Answer 1

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103×104

=(100+3)(100+4)

=100^2+(3+4)100+3×4 (since,(a+b)(a+c)=a^2+(b+c)×a+a×c)

=10000+700+12

=10712

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Answer 2

The simplified form of the expression is 10712.

Given,

An expression: $103*104$.

To Find,

The simplified form of the expression.

Solution,

The method of finding the simplified form of the given expression is as follows -

To simplify the expression, we need to use the distributive property of real numbers, i.e. $(a+b)(c+d)=a(c+d)+b(c+d)=ac+ad+bc+bd$.

Now, $103*104=(100+3)(100+4)$

$=100(100+4)+3(100+4)=10000+400+300+12$

$10000+700+12=10712$.

Hence, the simplified form of the expression is 10712.

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