Solve p*(1+0.75p)(1+6p)

$$p \cdot ( 1 + 0.75 p ) ( 1 + 6 p )$$

Evaluate

$$p\left(6p+1\right)\left(\frac{3p}{4}+1\right)$$

Solution Steps

Use the distributive property to multiply p by 1+0.75p.

$$\left(p+0.75p^{2}\right)\left(1+6p\right)$$

Apply the distributive property by multiplying each term of p+0.75p^{2} by each term of 1+6p.

$$p+6p^{2}+0.75p^{2}+4.5p^{3}$$

Combine 6p^{2} and 0.75p^{2} to get 6.75p^{2}.

$$p+6.75p^{2}+4.5p^{3}$$

Expand

$$\frac{9p^{3}}{2}+\frac{27p^{2}}{4}+p$$

Solution Steps

Use the distributive property to multiply p by 1+0.75p.

$$\left(p+0.75p^{2}\right)\left(1+6p\right)$$

Apply the distributive property by multiplying each term of p+0.75p^{2} by each term of 1+6p.

$$p+6p^{2}+0.75p^{2}+4.5p^{3}$$

Combine 6p^{2} and 0.75p^{2} to get 6.75p^{2}.

$$p+6.75p^{2}+4.5p^{3}$$