select the correct answer. which expression is equivalent to $21sqrt3{15}-9sqrt3{15}$?\na. 12\nb…
select the correct answer. which expression is equivalent to $21sqrt3{15}-9sqrt3{15}$?\na. 12\nb. $30sqrt3{15}$\nc. $12sqrt3{5}$\nd. $12sqrt3{15}$
Answer
Explanation:
Step1: Factor out the common term
Both terms $21\sqrt[3]{15}$ and $9\sqrt[3]{15}$ have a common factor of $\sqrt[3]{15}$. So we can rewrite the expression as $(21 - 9)\sqrt[3]{15}$.
Step2: Calculate the coefficient
Calculate $21-9 = 12$. So the expression becomes $12\sqrt[3]{15}$.
Answer:
D. $12\sqrt[3]{15}$