Simplify Rational Expression: (x^2 + x - 12)/(x^2 + x - 30) * (x^2 + 5x + 6)/(x^2 - 2x

Math Problem Statement

Question content area top Part 1 Multiply and divide as indicated. StartFraction x squared plus x minus 12 Over x squared plus x minus 30 EndFraction times StartFraction x squared plus 5 x plus 6 Over x squared minus 2 x minus 3 EndFraction divided by StartFraction x plus 2 Over x squared plus 7 x plus 6 EndFraction Question content area bottom Part 1 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Simplify your answer. Use integers or fractions for any numbers in the expression.) A. StartFraction x squared plus x minus 12 Over x squared plus x minus 30 EndFraction times StartFraction x squared plus 5 x plus 6 Over x squared minus 2 x minus 3 EndFraction divided by StartFraction x plus 2 Over x squared plus 7 x plus 6 EndFraction equals enter your response here, xnot equalsminus6, minus1, 3, 5 B. StartFraction x squared plus x minus 12 Over x squared plus x minus 30 EndFraction times StartFraction x squared plus 5 x plus 6 Over x squared minus 2 x minus 3 EndFraction divided by StartFraction x plus 2 Over x squared plus 7 x plus 6 EndFraction equals enter your response here, xnot equalsminus4, minus3, minus3, minus2 C.StartFraction x squared plus x minus 12 Over x squared plus x minus 30 EndFraction times StartFraction x squared plus 5 x plus 6 Over x squared minus 2 x minus 3 EndFraction divided by StartFraction x plus 2 Over x squared plus 7 x plus 6 EndFraction equals enter your response here, xnot equalsminus6, minus4, minus3, minus2, minus1, 3 D. StartFraction x squared plus x minus 12 Over x squared plus x minus 30 EndFraction times StartFraction x squared plus 5 x plus 6 Over x squared minus 2 x minus 3 EndFraction divided by StartFraction x plus 2 Over x squared plus 7 x plus 6 EndFraction equals enter your response here, xnot equalsnegative 6, negative 2, negative 1, 3, 5 E. StartFraction x squared plus x minus 12 Over x squared plus x minus 30 EndFraction times StartFraction x squared plus 5 x plus 6 Over x squared minus 2 x minus 3 EndFraction divided by StartFraction x plus 2 Over x squared plus 7 x plus 6 EndFraction equals enter your response here, no numbers are to be excluded

Solution

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Math Problem Analysis

Mathematical Concepts

Algebra
Rational Expressions
Factoring

Formulas

Theorems

Suitable Grade Level

Grades 10-12

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