Question

Which expression is equivalent to 4a+4/2a * a^2/a+1

Answer 1

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

$(\frac{4a+4}{2a})\times(\frac{a^2}{a+1})=2a$

Answer 2

2a^2+4a+1 is equivalent to 4a+4/2a*a^2/a+1