What is the simplified form of (x-2)(2x+3) use distributive property

1 answer

To simplify the expression (x-2)(2x+3) using the distributive property, we need to multiply each term in the first parentheses by each term in the second parentheses and then combine like terms.

(x-2)(2x+3) = x(2x) + x(3) - 2(2x) - 2(3)
= 2x^2 + 3x - 4x - 6
= 2x^2 - x - 6

Therefore, the simplified form of (x-2)(2x+3) using the distributive property is 2x^2 - x - 6.