How do you evaluate (x-6)/(x-4) +( 3x +4) / (-3x -3)?
2 Answers
Dec 31, 2017
Explanation:
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Dec 31, 2017
Explanation:
"before adding the fractions we require them to have a"
color(blue)"common denominator"
"the "color(blue)"common denominator ""is "(x-4)(-3x-3)
"multiply the numerators/denominators by the appropriate"
"factor to obtain common denominator"
(x-6)/(x-4)xx(-3x-3)/(-3x-3)+(3x+4)/(-3x+3)xx(x-4)/(x-4)
=((x-6)(-3x-3))/((x-4)(-3x-3))+((3x+4)(x-4))/((x-4)(-3x-3))
"expand and simplify numerator leaving the denominator"
=(cancel(-3x^2)+15x+18cancel(+3x^2)-8x-16)/((x-4)(-3x-3))
=(7x+2)/(-3(x-4)(x+1))larr"common factor of "-3
=-(7x+2)/(3(x-4)(x+1))