Simplify ((3-13)^2+14)/(4^2-5*2)

$\frac{{(3 - 13)}^{2} + 14}{4^{2} - 5 \cdot 2}$

Step 1

Simplify the numerator.

Subtract $13$ from $3$ .

$\frac{{(- 10)}^{2} + 14}{4^{2} - 5 \cdot 2}$

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

$\frac{100 + 14}{4^{2} - 5 \cdot 2}$

Add $100$ and $14$ .

$\frac{114}{4^{2} - 5 \cdot 2}$

$\frac{114}{4^{2} - 5 \cdot 2}$

Step 2

Simplify the denominator.

Raise $4$ to the power of $2$ .

$\frac{114}{16 - 5 \cdot 2}$

Multiply $- 5$ by $2$ .

$\frac{114}{16 - 10}$

Subtract $10$ from $16$ .

$\frac{114}{6}$

$\frac{114}{6}$

Step 3

Divide $114$ by $6$ .

$19$

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