Multiply and simplify. $( \sqrt [ 3 ] { t } + 1 ) \left( \sqrt [ 3 ] { t ^ { 2 } } + 8 \sqrt [ 3 ] { t } - 7 \right)$
A) $t + 9 \sqrt [ 3 ] { t ^ { 2 } } + \sqrt [ 3 ] { t } - 7$
B) $t + 10 \sqrt [ 3 ] { t ^ { 2 } } + 2 \sqrt [ 3 ] { t } - b$
C) $t + \sqrt [ 3 ] { t ^ { 2 } } + 7 \sqrt [ 3 ] { t } - 7$
D) $+ 7 \sqrt [ 3 ] { t ^ { 2 } } - 7$
E) $t + 8 \sqrt [ 3 ] { t ^ { 2 } } - 7 \sqrt [ 3 ] { t } - 7$

Question

Quizplus · Accepted Answer

When multiplying and simplifying the given expression, we use the distributive property (FOIL method for binomials). Each term in the first parenthesis is multiplied by each term in the second parenthesis and then simplified. The correct simplified form is $t + 9 \sqrt [ 3 ] { t ^ { 2 } } + \sqrt [ 3 ] { t } - 7$.

Multiply and Simplify (t3+1)(t23+8t3−7)( \sqrt [ 3 ] { t } + 1 ) \left( \sqrt [ 3 ] { t ^ { 2 } } + 8 \sqrt [ 3 ] { t } - 7 \right)(3t​+1)(3t2​+83t​−7)

Multiply and Simplify $( \sqrt [ 3 ] { t } + 1 ) \left( \sqrt [ 3 ] { t ^ { 2 } } + 8 \sqrt [ 3 ] { t } - 7 \right)$