Solve (4/2+10)(7/2-10)

$$( \frac { 4 } { 2 } + 10 ) ( \frac { 7 } { 2 } - 10 )$$

Evaluate

$$-78$$

Solution Steps

Divide 4 by 2 to get 2.

$$\left(2+10\right)\left(\frac{7}{2}-10\right)$$

Add 2 and 10 to get 12.

$$12\left(\frac{7}{2}-10\right)$$

Convert 10 to fraction \frac{20}{2}.

$$12\left(\frac{7}{2}-\frac{20}{2}\right)$$

Since \frac{7}{2} and \frac{20}{2} have the same denominator, subtract them by subtracting their numerators.

$$12\times \frac{7-20}{2}$$

Subtract 20 from 7 to get -13.

$$12\left(-\frac{13}{2}\right)$$

Express 12\left(-\frac{13}{2}\right) as a single fraction.

$$\frac{12\left(-13\right)}{2}$$

Multiply 12 and -13 to get -156.

$$\frac{-156}{2}$$

Divide -156 by 2 to get -78.

$$-78$$

Factor

$$-78$$