Evaluate

90000

Factor

2^{4}\times 3^{2}\times 5^{4}

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\begin{array}{c}\phantom{\times9}7500\\\underline{\times\phantom{999}12}\\\end{array}

First line up the numbers vertically and match the places from the right like this.

\begin{array}{c}\phantom{\times9}7500\\\underline{\times\phantom{999}12}\\\phantom{\times}15000\\\end{array}

Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 7500 with 2. Write the result 15000 at the end leaving 0 spaces to the right like this.

\begin{array}{c}\phantom{\times9}7500\\\underline{\times\phantom{999}12}\\\phantom{\times}15000\\\underline{\phantom{\times}7500\phantom{9}}\\\end{array}

Now multiply the first number with the 2^{nd} digit in 2^{nd} number to get intermediate results. That is Multiply 7500 with 1. Write the result 7500 at the end leaving 1 spaces to the right like this.

\begin{array}{c}\phantom{\times9}7500\\\underline{\times\phantom{999}12}\\\phantom{\times}15000\\\underline{\phantom{\times}7500\phantom{9}}\\\phantom{\times}90000\end{array}

Now add the intermediate results to get final answer.

## Examples

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{ x } ^ { 2 } - 4 x - 5 = 0

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4 \sin \theta \cos \theta = 2 \sin \theta

Linear equation

y = 3x + 4

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Matrix

\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]

Simultaneous equation

\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.

Differentiation

\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }

Integration

\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x

Limits

\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}