Algebra Examples

{(12 - 2)}^{2} \div (6 \cdot 4 - 7^{2})

${(12 - 2)}^{2} \div (6 \cdot 4 - 7^{2})$

Step 1

Rewrite the division as a fraction.

\frac{{(12 - 2)}^{2}}{6 \cdot 4 - 7^{2}}

$\frac{{(12 - 2)}^{2}}{6 \cdot 4 - 7^{2}}$

Step 2

Simplify the numerator.

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Step 2.1

Subtract

2

$2$ from

12

$12$ .

\frac{10^{2}}{6 \cdot 4 - 7^{2}}

$\frac{10^{2}}{6 \cdot 4 - 7^{2}}$

Step 2.2

Raise

10

$10$ to the power of

2

$2$ .

\frac{100}{6 \cdot 4 - 7^{2}}

$\frac{100}{6 \cdot 4 - 7^{2}}$

\frac{100}{6 \cdot 4 - 7^{2}}

$\frac{100}{6 \cdot 4 - 7^{2}}$

Step 3

Simplify the denominator.

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Step 3.1

Multiply

6

$6$ by

4

$4$ .

\frac{100}{24 - 7^{2}}

$\frac{100}{24 - 7^{2}}$

Step 3.2

Raise

7

$7$ to the power of

2

$2$ .

\frac{100}{24 - 1 \cdot 49}

$\frac{100}{24 - 1 \cdot 49}$

Step 3.3

Multiply

- 1

$- 1$ by

49

$49$ .

\frac{100}{24 - 49}

$\frac{100}{24 - 49}$

Step 3.4

Subtract

49

$49$ from

24

$24$ .

\frac{100}{- 25}

$\frac{100}{- 25}$

\frac{100}{- 25}

$\frac{100}{- 25}$

Step 4

Divide

100

$100$ by

- 25

$- 25$ .

- 4

$- 4$

⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$