Question

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

Answer 1

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

Answer 2

`((4a+4)/(2a))*((a^2)/(a+1))=2a`

Explanation:

Given : Expression
`((4a+4)/(2a))*((a^2)/(a+1))`

To find : The given expression is equivalent to?

Solution :

Write the given expression,

`((4a+4)/(2a))*((a^2)/(a+1))`

Taking 4 common from first bracket

`=(4(a+1)a^2)/(2a(a+1))`

Cancel the (a+1) from numerator and denominator,

`=(4a^2)/(2a)`

Cancel the 2a from numerator and denominator,

`=2a`

Therefore, The given expression is equivalent to

`((4a+4)/(2a))*((a^2)/(a+1))=2a`