Algebra Examples

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

Step 1

Rewrite the division as a fraction.

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

Step 2

Simplify the numerator.

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Step 2.1

Subtract $2$ from $12$ .

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

Step 2.2

Raise $10$ to the power of $2$ .

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

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

Step 3

Simplify the denominator.

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Step 3.1

Multiply $6$ by $4$ .

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

Step 3.2

Raise $7$ to the power of $2$ .

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

Step 3.3

Multiply $- 1$ by $49$ .

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

Step 3.4

Subtract $49$ from $24$ .

$\frac{100}{- 25}$

$\frac{100}{- 25}$

Step 4

Divide $100$ by $- 25$ .

$- 4$

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