Math Problem Statement
Multiply and divide as indicated. StartFraction x squared plus x minus 20 Over x squared plus x minus 30 EndFraction times StartFraction x squared plus 7 x plus 12 Over x squared minus 2 x minus 8 EndFraction divided by StartFraction x plus 3 Over x squared plus 8 x plus 12 EndFraction x2+x−20 x2+x−30• x2+7x+12 x2−2x−8÷ x+3 x2+8x+12 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 20 Over x squared plus x minus 30 EndFraction times StartFraction x squared plus 7 x plus 12 Over x squared minus 2 x minus 8 EndFraction divided by StartFraction x plus 3 Over x squared plus 8 x plus 12 EndFraction x2+x−20 x2+x−30• x2+7x+12 x2−2x−8÷ x+3 x2+8x+12equals=enter your response here, xnot equals≠minus−66, minus−22, 44, 55 B. StartFraction x squared plus x minus 20 Over x squared plus x minus 30 EndFraction times StartFraction x squared plus 7 x plus 12 Over x squared minus 2 x minus 8 EndFraction divided by StartFraction x plus 3 Over x squared plus 8 x plus 12 EndFraction x2+x−20 x2+x−30• x2+7x+12 x2−2x−8÷ x+3 x2+8x+12equals=enter your response here, xnot equals≠minus−55, minus−44, minus−44, minus−33 C. StartFraction x squared plus x minus 20 Over x squared plus x minus 30 EndFraction times StartFraction x squared plus 7 x plus 12 Over x squared minus 2 x minus 8 EndFraction divided by StartFraction x plus 3 Over x squared plus 8 x plus 12 EndFraction x2+x−20 x2+x−30• x2+7x+12 x2−2x−8÷ x+3 x2+8x+12equals=enter your response here, xnot equals≠minus−66, minus−55, minus−44, minus−33, minus−22, 44 D. StartFraction x squared plus x minus 20 Over x squared plus x minus 30 EndFraction times StartFraction x squared plus 7 x plus 12 Over x squared minus 2 x minus 8 EndFraction divided by StartFraction x plus 3 Over x squared plus 8 x plus 12 EndFraction x2+x−20 x2+x−30• x2+7x+12 x2−2x−8÷ x+3 x2+8x+12equals=enter your response here, xnot equals≠negative 6−6, negative 3−3, negative 2−2, 44, 55 E. StartFraction x squared plus x minus 20 Over x squared plus x minus 30 EndFraction times StartFraction x squared plus 7 x plus 12 Over x squared minus 2 x minus 8 EndFraction divided by StartFraction x plus 3 Over x squared plus 8 x plus 12 EndFraction x2+x−20 x2+x−30• x2+7x+12 x2−2x−8÷ x+3 x2+8x+12equals=enter your response here, no numbers are to be excluded
Solution
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Math Problem Analysis
Mathematical Concepts
Algebra
Rational Expressions
Factoring Quadratics
Simplifying Rational Expressions
Formulas
Factoring quadratics: ax^2 + bx + c = (x + p)(x + q)
Dividing by a fraction: a / (b/c) = a * (c/b)
Theorems
Zero-product property
Simplifying rational expressions
Suitable Grade Level
Grades 9-11
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