Answer:
\((\frac{4a+4}{2a})\times(\frac{a^2}{a+1})=2a\)
Step-by-step explanation:
Given : Expression \((\frac{4a+4}{2a})\times(\frac{a^2}{a+1})\)
To find : The given expression is equivalent to?
Solution :
Write the given expression,
\((\frac{4a+4}{2a})\times(\frac{a^2}{a+1})\)
Taking 4 common from first bracket
\(=\frac{4(a+1)a^2}{2a(a+1)}\)
Cancel the (a+1) from numerator and denominator,
\(=\frac{4a^2}{2a}\)
Cancel the 2a from numerator and denominator,
\(=2a\)
Therefore, The given expression is equivalent to
\((\frac{4a+4}{2a})\times(\frac{a^2}{a+1})=2a\)
