Solve 50m+12b+1/2*98(12b)

$$50 m + 12 b + 1 / 2 \cdot 98 ( 12 b )$$

Evaluate

$$50\left(m+12b\right)$$

Solution Steps

Multiply \frac{1}{2} and 98 to get \frac{98}{2}.

$$50m+12b+\frac{98}{2}\times 12b$$

Divide 98 by 2 to get 49.

$$50m+12b+49\times 12b$$

Multiply 49 and 12 to get 588.

$$50m+12b+588b$$

Combine 12b and 588b to get 600b.

$$50m+600b$$

Factor

$$50\left(m+12b\right)$$

Solution Steps

Factor out 2.

$$2\left(25m+6b+294b\right)$$

Consider 25m+6b+294b. Multiply and combine like terms.

$$25m+300b$$

Consider 25m+300b. Factor out 25.

$$25\left(m+12b\right)$$

Rewrite the complete factored expression.

$$50\left(m+12b\right)$$