I really need help 10pt for best answer please!?

Question

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Reduce this algebraic fraction

Answer 1

(a^3 + a^2b)/5a * 25/(3b + 3a)

= a^2(a + b)/5a * 25 / 3(b + a)

= a^2/a * 25/5 * (a + b)/(b + a) * 1/3

= a * 5 * 1 * 1/3

= 5a/3

Answer 2

(5a)/3

Work:

[a^3 + (a^2)b]/(5a) * [25/(3b +3a)].  Multiply numerators and denominators:

= [25(a^3 + (a^2)b)] / [(5a)(3b + 3a)].  Simplify:

= [5(a^3 + (a^2)b)] / [a(3b + 3a)].  Factor the greatest common factors in the numerator and denominator.  The gcf in the numerator is a^2.  The gcf in the denominator is 3:

= [5a^2(a + b)] / [3a(b + a)].  Simplify.  The (a +b) in the numerator and the (b + a) in the denominator cancel each other out:

= (5a) / 3

Answer 3

Ok here is the answer.

5a/3  I promise... Edit your post if you wish to know why or else enjoy your answer...