simplify the product using the distributive property

Question

(3p+2)(5p-1)

Answer 1

To simplify the product using the distributive property, we have to multiply each term in the first expression by each term in the second expression:

(3p)(5p) + (3p)(-1) + (2)(5p) + (2)(-1)

Simplifying this expression, we get:

15p^2 - 3p + 10p - 2

Combining like terms, we have:

15p^2 + 7p - 2

So, the simplified product using the distributive property is 15p^2 + 7p - 2.