Evaluate

3180

Factor

2^{2}\times 3\times 5\times 53

Copy

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\begin{array}{c}\phantom{\times99}53\\\underline{\times\phantom{99}60}\\\end{array}

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

\begin{array}{c}\phantom{\times99}53\\\underline{\times\phantom{99}60}\\\phantom{\times9999}0\\\end{array}

Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 53 with 0. Write the result 0 at the end leaving 0 spaces to the right like this.

\begin{array}{c}\phantom{\times99}53\\\underline{\times\phantom{99}60}\\\phantom{\times9999}0\\\underline{\phantom{\times}318\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 53 with 6. Write the result 318 at the end leaving 1 spaces to the right like this.

\begin{array}{c}\phantom{\times99}53\\\underline{\times\phantom{99}60}\\\phantom{\times9999}0\\\underline{\phantom{\times}318\phantom{9}}\\\phantom{\times}3180\end{array}

Now add the intermediate results to get final answer.

Examples

Quadratic equation

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

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

Linear equation

y = 3x + 4

Arithmetic

699 * 533

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}