QuestionAugust 26, 2025

Which expression is equivalent to (3x+2)(3x-5) 6x-3 9x^2-10 9x^2-3x-10 9x^2-9x-10

Which expression is equivalent to (3x+2)(3x-5) 6x-3 9x^2-10 9x^2-3x-10 9x^2-9x-10
Which expression is equivalent to (3x+2)(3x-5)
6x-3
9x^2-10
9x^2-3x-10
9x^2-9x-10

Solution
4.1(262 votes)

Answer

9x^{2}-9x-10 Explanation 1. Expand the expression Use the distributive property: (a+b)(c+d) = ac + ad + bc + bd. Apply it to (3x+2)(3x-5): 3x \cdot 3x + 3x \cdot (-5) + 2 \cdot 3x + 2 \cdot (-5). 2. Calculate each term 3x \cdot 3x = 9x^2. 3x \cdot (-5) = -15x. 2 \cdot 3x = 6x. 2 \cdot (-5) = -10. 3. Combine like terms Combine -15x and 6x: -15x + 6x = -9x. The expression becomes 9x^2 - 9x - 10.

Explanation

1. Expand the expression<br /> Use the distributive property: $(a+b)(c+d) = ac + ad + bc + bd$.<br /> Apply it to $(3x+2)(3x-5)$: <br /> $3x \cdot 3x + 3x \cdot (-5) + 2 \cdot 3x + 2 \cdot (-5)$.<br /><br />2. Calculate each term<br /> $3x \cdot 3x = 9x^2$.<br /> $3x \cdot (-5) = -15x$.<br /> $2 \cdot 3x = 6x$.<br /> $2 \cdot (-5) = -10$.<br /><br />3. Combine like terms<br /> Combine $-15x$ and $6x$: $-15x + 6x = -9x$.<br /> The expression becomes $9x^2 - 9x - 10$.
Click to rate: