Find the quotient and simplify.
-$\frac { ( x + 9 ) ( x + 2 ) } { 3 x } \div \frac { 2 x + 18 } { 6 x ^ { 6 } }$
A) $x ^ { 5 } ( x + 2 )$
B) $x ^ { 6 } ( x + 2 )$
C) $\frac { x ^ { 5 } ( x + 2 ) } { 2 }$
D) $2 x ^ { 5 } ( x + 2 )$

Question

Quizplus · Accepted Answer

The correct answer is A because:$\frac { ( x + 9 ) ( x + 2 ) } { 3 x } \div \frac { 2 x + 18 } { 6 x ^ { 6 } }$$= \frac { ( x + 9 ) ( x + 2 ) } { 3 x } \times \frac { 6 x ^ { 6 } } { 2 x + 18 }$$= \frac { ( x + 9 ) ( x + 2 ) 2 x ^ { 6 } } { 3 x ( 2 x + 18 ) }$$= \frac { 2 x ^ { 7 } ( x + 9 ) ( x + 2 ) } { 6 x ( 2 x + 18 ) }$$= \frac { x ^ { 6 } ( x + 9 ) ( x + 2 ) } { 3 ( 2 x + 18 ) }$$= \frac { x ^ { 6 } ( x + 9 ) ( x + 2 ) } { 6 x + 54 }$$= \frac { x ^ { 6 } ( x + 9 ) ( x + 2 ) } { 6 ( x + 9 ) }$$= x ^ { 5 } ( x + 2 )$

Find the Quotient and Simplify (x+9)(x+2)3x÷2x+186x6\frac { ( x + 9 ) ( x + 2 ) } { 3 x } \div \frac { 2 x + 18 } { 6 x ^ { 6 } }3x(x+9)(x+2)​÷6x62x+18​

Find the Quotient and Simplify $\frac { ( x + 9 ) ( x + 2 ) } { 3 x } \div \frac { 2 x + 18 } { 6 x ^ { 6 } }$