Simplify the product using the distributive property.%0D%0A%0D%0A(3p + 2)(5p – 1) %0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0A15p2 – 7p + 2%0D%0A15 p 2 – 7 p + 2%0D%0A%0D%0A15p2 – 13p + 2%0D%0A15 p 2 – 13 p + 2%0D%0A%0D%0A15p2 + 7p – 2%0D%0A15 p 2 + 7 p – 2%0D%0A%0D%0A15p2 + 13p – 2
To simplify the product (3p + 2)(5p – 1) using the distributive property, you need to distribute each term in the first binomial to every term in the second binomial.
First, distribute 3p to 5p and -1:
3p * 5p = 15p^2
3p * -1 = -3p
Next, distribute 2 to 5p and -1:
2 * 5p = 10p
2 * -1 = -2
Now, combine like terms:
15p^2 - 3p + 10p - 2
Simplifying further, you get:
15p^2 + 7p - 2
Therefore, the simplified product is 15p^2 + 7p - 2.