select the correct answer.\nwhich expression is equivalent to ( 21sqrt3{15}-9sqrt3{15} )?\na. 12\nb. (…

select the correct answer.\nwhich expression is equivalent to ( 21sqrt3{15}-9sqrt3{15} )?\na. 12\nb. ( 30sqrt3{15} )\nc. ( 12sqrt3{5} )\nd. ( 12sqrt3{15} )

select the correct answer.\nwhich 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

Factor out (\sqrt[3]{15}) from the expression (21\sqrt[3]{15}-9\sqrt[3]{15}). Using the distributive property (a\times c - b\times c=(a - b)\times c), where (a = 21), (b=9), and (c=\sqrt[3]{15}), we get ((21 - 9)\sqrt[3]{15}).

Step2: Calculate the coefficient

Calculate (21-9). (21-9 = 12). So the expression becomes (12\sqrt[3]{15}).

Answer:

D. (12\sqrt[3]{15})