Question Bank / Math / Equivalent Expressions

Equivalent expressions SAT question

Math · Advanced Math · Medium · Answer it here, explanation included.

Which expression is equivalent to $6 x^{8} y^{2} + 12 x^{2} y^{2}$ ?

ExplanationShow

Choice C is correct. Since each term of the given expression has a common factor of $6 x^{2} y^{2}$ , it may be rewritten as $6 x^{2} y^{2} (x^{6}) + 6 x^{2} y^{2} (2)$ , or $6 x^{2} y^{2} (x^{6} + 2)$ .

Choice A is incorrect. This expression is equivalent to $12 x^{8} y^{2}$ , not $6 x^{8} y^{2} + 12 x^{2} y^{2}$ .

Choice B is incorrect. This expression is equivalent to $6 x^{6} y^{2}$ , not $6 x^{8} y^{2} + 12 x^{2} y^{2}$ .

Choice D is incorrect. This expression is equivalent to $6 x^{6} y^{2} + 12 x^{2} y^{2}$ , not $6 x^{8} y^{2} + 12 x^{2} y^{2}$ .

Drill this skill on Aceit

Adaptive practice, a daily plan, and score tracking take a free account so we can save your work.

Practice this skill

Equivalent expressions SAT question

More Equivalent expressions questions