The student was asked to divide the given rational expressions. Explain what the student did wrong. (h+3)(h-6) (h + 2)(h + 5) (h-6)(h+2) 1. (h+3)(h + 4) Shania (h+3)(h-6) (h+2)(h+5) Ih+3(h - 6) Sh+2h +5) (h-6)(h – 6) (h+5)(h+ 4) (h-6)(h+2) (h +3)(h + 4) (h -6)(h+27 Ih+37(h + 4) O In the last step, the student neglected to divide out the last remaining common factor (h - 6). O The student's answer is not complete without expanding all parentheses in the final step. The student shouldn't have divided out any common factors before expanding all parentheses. O When dividing out any common factors, the student should have added a minus sign in case the factors are negative. O The student did not change from division to multiplication of rational expressions and, therefore, divided out the wrong common factors. Give the correct answer. (Simplify your answer completely.) acer

Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter8: Rational Expressions And Equations
Section8.3: Add And Subtract Rational Expressions With A Common Denominator
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The student was asked to divide the given rational expressions. Explain what the student did wrong.
(h +3)(h-6) (h-6)(h+ 2)
(h+2)(h+5) (h + 3)(h + 4)
Shania
(h+3)(h-6)
(h+2)(h + 5)
Ih+3(h -6)
Ih+2Mh +5) * th+3}(h + 4)
(h-6)(h -6)
(h+5)(h + 4)
(h-6)(h +2)
(h +3)(h + 4)
(h -6)(h+2)
O In the last step, the student neglected to divide out the last remaining common factor (h - 6).
O The student's answer is not complete without expanding all parentheses in the final step.
O The student shouldn't have divided out any common factors before expanding all parentheses.
O When dividing out any common factors, the student should have added a minus sign in case the factors are negative.
O The student did not change from division to multiplication of rational expressions and, therefore, divided out the wrong
common factors.
Give the correct answer. (Simplify your answer completely.)
acer
Transcribed Image Text:The student was asked to divide the given rational expressions. Explain what the student did wrong. (h +3)(h-6) (h-6)(h+ 2) (h+2)(h+5) (h + 3)(h + 4) Shania (h+3)(h-6) (h+2)(h + 5) Ih+3(h -6) Ih+2Mh +5) * th+3}(h + 4) (h-6)(h -6) (h+5)(h + 4) (h-6)(h +2) (h +3)(h + 4) (h -6)(h+2) O In the last step, the student neglected to divide out the last remaining common factor (h - 6). O The student's answer is not complete without expanding all parentheses in the final step. O The student shouldn't have divided out any common factors before expanding all parentheses. O When dividing out any common factors, the student should have added a minus sign in case the factors are negative. O The student did not change from division to multiplication of rational expressions and, therefore, divided out the wrong common factors. Give the correct answer. (Simplify your answer completely.) acer
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