Evaluate 6-4(3-5)^2+30/5

$6 - 4 {(3 - 5)}^{2} + \frac{30}{5}$

Find the common denominator.

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Write $6$ as a fraction with denominator $1$ .

$\frac{6}{1} - 4 {(3 - 5)}^{2} + \frac{30}{5}$

Multiply $\frac{6}{1}$ by $\frac{5}{5}$ .

$\frac{6}{1} \cdot \frac{5}{5} - 4 {(3 - 5)}^{2} + \frac{30}{5}$

Multiply $\frac{6}{1}$ and $\frac{5}{5}$ .

$\frac{6 \cdot 5}{5} - 4 {(3 - 5)}^{2} + \frac{30}{5}$

Write $- 4 {(3 - 5)}^{2}$ as a fraction with denominator $1$ .

$\frac{6 \cdot 5}{5} + \frac{- 4 {(3 - 5)}^{2}}{1} + \frac{30}{5}$

Multiply $\frac{- 4 {(3 - 5)}^{2}}{1}$ by $\frac{5}{5}$ .

$\frac{6 \cdot 5}{5} + \frac{- 4 {(3 - 5)}^{2}}{1} \cdot \frac{5}{5} + \frac{30}{5}$

Multiply $\frac{- 4 {(3 - 5)}^{2}}{1}$ and $\frac{5}{5}$ .

$\frac{6 \cdot 5}{5} + \frac{- 4 {(3 - 5)}^{2} \cdot 5}{5} + \frac{30}{5}$

Combine fractions with similar denominators.

$\frac{6 \cdot 5 - 4 {(3 - 5)}^{2} \cdot 5 + 30}{5}$

Simplify the expression.

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Multiply $6$ by $5$ .

$\frac{30 - 4 {(3 - 5)}^{2} \cdot 5 + 30}{5}$

Subtract $5$ from $3$ .

$\frac{30 - 4 {(- 2)}^{2} \cdot 5 + 30}{5}$

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

$\frac{30 - 4 \cdot 4 \cdot 5 + 30}{5}$

Multiply $- 4$ by $4$ .

$\frac{30 - 16 \cdot 5 + 30}{5}$

Multiply $- 16$ by $5$ .

$\frac{30 - 80 + 30}{5}$

Reduce the expression $\frac{30 - 80 + 30}{5}$ by cancelling the common factors.

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Factor $5$ out of $30$ .

$\frac{5 \cdot 6 - 80 + 30}{5}$

Factor $5$ out of $- 80$ .

$\frac{5 \cdot 6 + 5 \cdot - 16 + 30}{5}$

Factor $5$ out of $5 \cdot 6 + 5 \cdot - 16$ .

$\frac{5 \cdot (6 - 16) + 30}{5}$

Factor $5$ out of $30$ .

$\frac{5 \cdot (6 - 16) + 5 \cdot 6}{5}$

Factor $5$ out of $5 \cdot (6 - 16) + 5 (6)$ .

$\frac{5 \cdot (6 - 16 + 6)}{5}$

Factor $5$ out of $5$ .

$\frac{5 \cdot (6 - 16 + 6)}{5 (1)}$

Cancel the common factor.

$\frac{5 \cdot (6 - 16 + 6)}{5 \cdot 1}$

Rewrite the expression.

$\frac{6 - 16 + 6}{1}$

Simplify the expression.

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Divide $6 - 16 + 6$ by $1$ .

$6 - 16 + 6$

Subtract $16$ from $6$ .

$- 10 + 6$

Add $- 10$ and $6$ .

$- 4$

Evaluate 6-4(3-5)^2+30/5

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