Simplify into one fraction 6/x+7-3/x-2?

2 Answers
May 20, 2018

#(3+5x)/x#

Explanation:

#6/x+7-3/x-2#

first combine like terms:

#3/x+5#

now find a common denominator with is #x#

#3/x+5*(x/x)#

#3/x+(5x)/x#

#(3+5x)/x#

May 20, 2018

#(3x-33)/((x+7)(x-2))#

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))#