Question

Q5 Simplify the product using the distributive property

(3x - 5)(5x + 4)

Answer 1

To simplify the product (3x - 5)(5x + 4) using the distributive property, we need to multiply each term in the first set of parentheses by each term in the second set of parentheses.

First, multiply the first term in the first set of parentheses (3x) by each term in the second set of parentheses (5x and 4):
3x * 5x = 15x^2
3x * 4 = 12x

Then, multiply the second term in the first set of parentheses (-5) by each term in the second set of parentheses (5x and 4):
-5 * 5x = -25x
-5 * 4 = -20

Now, we can combine the like terms:
15x^2 + 12x - 25x - 20

Simplifying further:
15x^2 - 13x - 20

Therefore, the simplified product using the distributive property is 15x^2 - 13x - 20.