SOLUTION: Rational and Radical Expressions 3) Divide and simplify: 5x-7 ÷ 25x²-49 —————————————— 5x² +27x+28 thank you so much

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: Rational and Radical Expressions 3) Divide and simplify: 5x-7 ÷ 25x²-49 —————————————— 5x² +27x+28 thank you so much      Log On


   

Question 65452: Rational and Radical Expressions
3) Divide and simplify:
5x-7 ÷ 25x²-49
——————————————
5x² +27x+28
thank you so much
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
5x-7 ÷ 25x²-49
——————————————
5x^2 +27x+28

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Simplify the numerator: (5x-7)/[5x-7)(5x+7)= 1/(5x+7)
Simplify the denominator: (5x+7)(x+4)
=================
Rewrite the fraction as:
[1/5x+7] / [(5x+7)(x+4)]
Invert the denominator and multiply to get:
(x+4)/(5x+7)^2
Cheers,
Stan H.