Calculate: (24a^2b)/8+(16abc)/8

Expression: $\frac{24a^{2}b}{8} + \frac{16abc}{8}$

Combine the numerators over the common denominator.

$$\frac{24a^{2}b+16abc}{8}$$

Factor 8ab out of 24a2b+16abc.

$$\frac{8ab\left(3a+2c\right)}{8}$$

Cancel the common factor of 8.

$$ab\left(3a+2c\right)$$

Apply the distributive property.

$$ab\left(3a\right)+ab\left(2c\right)$$

Multiply a by a by adding the exponents.

$$3aba+2abc$$

$$3a^{2}b+2abc$$