Simplify into one fraction 6/x+7-3/x-2?
2 Answers
May 20, 2018
Explanation:
first combine like terms:
now find a common denominator with is
May 20, 2018
Explanation:
#"in case you meant "#
#6/(x+7)-3/(x-2)#
#"before subtracting we require the fractions to have a"#
#color(blue)"common denominator"#
#"the common denominator is "(x+7)(x-2)#
#"multiply numerator/denominator of "6/(x+7)" by "(x-2)#
#"multiply numerator/denominator of "3/(x-2)" by "(x+7)#
#=(6(x-2))/((x+7)(x-2))-(3(x+7))/((x+7)(x-2))#
#"the fractions now have a common denominator so "#
#"add/subtract numerators leaving the denominator"#
#=(6x-12-3x-21)/((x+7)(x-2))=(3x-33)/((x+7)(x-2))#