Digital PSAT Math Practice Question 330: Answer and Explanation

Question: 330

(x² + 3x²)³ = ?

Correct Answer: D

Explanation:

(D) Simplify by combining the like terms within the parentheses:

{(x^{2} + 3 x^{2})}^{3} = (4 x^{2})^{3}

Next, cube both the 4 and the $x^{2}$ :

{(4 x^{2})}^{3} \to + (4^{3}) {(x^{2})}^{3} \to 64 x^{6}