Simplify the expression:

\[
\frac{4a^2 + 4a}{a^2 - 25} \times \frac{a^2 - 5a}{8a}
\]

(4a^2 + 4a)/(a^2-25) x (a^2-5a)/8a Factor the possible ones to be easier [4a(a+1)]/[(a-5)(a+5)] x [a(a-5)/8a] Cancel the a-5 [4a(a+1)]/[a+5)] x a/8a cancel the 4a and 8a(8a becames 2) [a+1]/[a+5] x a/2 now multiply [a(a+1)]/[2(a+5)]<---- can be the answer or: (a^2+a)/(2a+10)

Answered by deathstrike001 | 2024-06-10

The expression simplifies to 2 ( a + 5 ) a + 1 ​ after factoring, canceling common terms, and simplifying. By breaking down the components, we can see how they interact to lead to the final result. This process allows us to better understand the underlying mathematical principles at work.
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Answered by deathstrike001 | 2025-02-05