Question

What is the simplified form of the quantity of x plus 9, all over the quantity of 8 − the quantity of x plus 3, all over the quantity of x plus 2?

the quantity of x squared plus 19x plus 42, all over 8 times the quantity of x plus 2
the quantity of x plus 6, all over the quantity of 6 minus x
6 over the quantity of 6 minus x
the quantity of x squared plus 3x minus 6, all over 8 times the quantity of x plus 2

Answer 1

@Cardinal_Carlo

Answer 2

I presume that phrasing to be read as:
\[\frac{ x + 9 }{ 8 } - \frac{ x + 3 }{ x + 2 }\]
If this is the case, then:
\[\frac{ x + 9\left( x + 2 \right) - 8\left( x + 3 \right) }{ 8\left( x + 2 \right) }\]
When simplified it becomes:
\[\frac{ x ^{2} + 3x - 6 }{ 8(x + 2) }\]
How would this be worded? @iwanttogotostanford

Answer 3

How was this problem presented in your homework assignment? If in symbols, I'd strongly suggest that you learn to present a function in either or both the Equation Editor or the Draw utility (below). It's additional work for helpers if y ou present the problem statement in words, as well as an invitation to error.