Solve (12+4b)*(3/23b+b^2)

$$( 12 + 4 b ) * ( \frac { 3 } { 2 } 3 b + b ^ { 2 } )$$

Evaluate

$$2b\left(b+3\right)\left(2b+9\right)$$

Solution Steps

Multiply \frac{3}{2} and 3 to get \frac{9}{2}.

$$\left(12+4b\right)\left(\frac{9}{2}b+b^{2}\right)$$

Use the distributive property to multiply 12+4b by \frac{9}{2}b+b^{2} and combine like terms.

$$54b+30b^{2}+4b^{3}$$

Expand

$$4b^{3}+30b^{2}+54b$$

Solution Steps

Multiply \frac{3}{2} and 3 to get \frac{9}{2}.

$$\left(12+4b\right)\left(\frac{9}{2}b+b^{2}\right)$$

Use the distributive property to multiply 12+4b by \frac{9}{2}b+b^{2} and combine like terms.

$$54b+30b^{2}+4b^{3}$$