Solve (5p2+3)(25p4-15p2+9)

$$( 5 p 2 + 3 ) ( 25 p 4 - 15 p 2 + 9 )$$

Evaluate

$$\left(5p_{2}+3\right)\left(9+25p_{4}-15p_{2}\right)$$

Solution Steps

Apply the distributive property by multiplying each term of 5p_{2}+3 by each term of 25p_{4}-15p_{2}+9.

$$125p_{2}p_{4}-75p_{2}^{2}+45p_{2}+75p_{4}-45p_{2}+27$$

Combine 45p_{2} and -45p_{2} to get 0.

$$125p_{2}p_{4}-75p_{2}^{2}+75p_{4}+27$$

Expand

$$27+75p_{4}+125p_{2}p_{4}-75p_{2}^{2}$$

Solution Steps

Apply the distributive property by multiplying each term of 5p_{2}+3 by each term of 25p_{4}-15p_{2}+9.

$$125p_{2}p_{4}-75p_{2}^{2}+45p_{2}+75p_{4}-45p_{2}+27$$

Combine 45p_{2} and -45p_{2} to get 0.

$$125p_{2}p_{4}-75p_{2}^{2}+75p_{4}+27$$