Question

A student incorrectly simplified the rational expression \frac{a+3}{a+2} - \frac{a+4}{a+3} The student's work is shown Line 1 = \frac{(a+3)(a+3)}{(a+2)(a+3)} - \frac{(a+4)(a+2)}{(a+3)(a+2)} Line 2 = \frac{(a+3)(a+3)-(a+4)(a+2)}{(a+2)(a+3)} Line 3 = \frac{a^2+6a+9-a^2+6a+8}{(a+2)(a+3)} Line 4 = \frac{12a+17}{(a+2)(a+3)}, a \neq -3, -2 9. The student made the error in a. Line 1 b. Line 2 c. Line 3 d. Line 4

          A student incorrectly simplified the rational expression \frac{a+3}{a+2} - \frac{a+4}{a+3}
The student's work is shown
Line 1
= \frac{(a+3)(a+3)}{(a+2)(a+3)} - \frac{(a+4)(a+2)}{(a+3)(a+2)}
Line 2
= \frac{(a+3)(a+3)-(a+4)(a+2)}{(a+2)(a+3)}
Line 3
= \frac{a^2+6a+9-a^2+6a+8}{(a+2)(a+3)}
Line 4
= \frac{12a+17}{(a+2)(a+3)}, a \neq -3, -2
9. The student made the error in
a. Line 1
b. Line 2
c. Line 3
d. Line 4

A student incorrectly simplified the rational expression (a+3)/(a+2) - (a+4)/(a+3)
The student's work is shown
Line 1
= ((a+3)(a+3))/((a+2)(a+3)) - ((a+4)(a+2))/((a+3)(a+2))
Line 2
= ((a+3)(a+3)-(a+4)(a+2))/((a+2)(a+3))
Line 3
= (a^2+6a+9-a^2+6a+8)/((a+2)(a+3))
Line 4
= (12a+17)/((a+2)(a+3)), a ≠-3, -2
9. The student made the error in
a. Line 1
b. Line 2
c. Line 3
d. Line 4

Added by Encarnacion A.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Alison Rodriguez

03/25/2022

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A student incorrectly simplified the rational expression (a+3)/(a+2)-(a+4)/(a+3) The student's work is shown Line 1 =((a+3))/((a+2))*((a+3))/((a+3))-((a+4))/((a+3))*((a+2))/((a+2)) Line 2 =((a+3)(a+3)-(a+4)(a+2))/((a+2)(a+3)) Line 3 =(a^(2)+6a+9-a^(2)+6a+8)/((a+2)(a+3)) Line 4 =(12a+17)/((a+2)(a+3)),a!==-3,-2 where did the he student made the error in a. Line 1 b. Line 2 c. Line 3 d. Line 4 a+3 a+4 A student incorrectly simplified the rational expression a+2 a+3 The student's work is shown (a+3a+3) a+4a+2 (a+2a+3a+3a+2 Line 1 (a+3)a+3-a+4)(a+2) (a+2)(a+3) Line 2 8+9+-6+n9+D (a+2)(a+3) Line 3 12a+17 Line 4 9.The student made the error in a.Line 1 b. Line 2 c.Line 3 d.Line 4