Which of the following is equivalent to 2 (x^2 - x) + 3 (x^2 - x) ?

The correct answer is A. Choice A is correct. Since (x^2 - x) is a common term in the original expression, like terms can be added: 2 (x^2 - x) + 3 (x^2 - x) = 5 (x^2 - x) . Distributing the constant term 5 yields 5 x^2 - 5 x .

Note: Use the listed values to compare the solved expression with choice A's expression; the two printed lists match.

SAT Question 9ed9f54d: Answer, Explanation & Desmos Solution

Choice B

Choice B is incorrect and may result from not distributing the negative signs in the expressions within the parentheses.

Choice C

Choice C is incorrect and may result from not distributing the negative signs in the expressions within the parentheses and from incorrectly eliminating the $x^{2}$ term.

Choice D

Choice D is incorrect and may result from incorrectly eliminating the $x$ term.

Explanation

Enter in Desmos:

Why the other choices are wrong

SAT Question 9ed9f54d: Equivalent Expressions answer and explanation with Desmos solution

Explanation

Enter in Desmos:

Why the other choices are wrong