# SAT Math Multiple Choice Question 896: Answer and Explanation

Home > SAT Test > SAT Math Multiple Choice Practice Tests

### Test Information

- Use your browser's back button to return to your test results.
- Do more SAT Math Multiple Choice Practice Tests.

**Question: 896**

**11.** Given that *a* ≠ ±, which of the following is equivalent to?

- A.
- B.
- C.
- D.

**Correct Answer:** D

**Explanation:**

**D**

**Difficulty:** Medium

**Category:** Passport to Advanced Math / Exponents

**Strategic Advice:** When dividing polynomials, you have two choices: factor and cancel, or long division. Choose whichever method you're more comfortable with.

**Getting to the Answer:** Factoring is most likely the faster route. The denominator is easier to factor, so start there: is a difference of squares, which becomes. The expression in the numerator will factor into two binomials, one of which must be either 2*a* + 1 or 2*a* - 1 so that the fraction can be reduced. Using factoring by grouping, find the factors of 2(-3) = -6 that add up to +5, split the middle term using those numbers, and then factor by grouping:

The factor 2*a* - 1 appears in the numerator and the denominator, so cancel it to leave, which is (D).