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

A) 2(a+1)^2/a^3
B) 6a
C) 2a
D) 6a^2/a+1

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mergl mergl · Answer 1 · 2017-06-20T23:37:21+02:00

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

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keshavgandhi04 keshavgandhi04 · Answer 2 · 2021-12-16T13:18:05+01:00

The expression which is equivalent to the given expression is 2a and this can be determined by using the arithmetic operations.

Given :

Expression -- [tex]\dfrac{4a+4}{2a}\times \dfrac{a^2}{a+1}[/tex]

The following steps can be used in order to determine the expression which is equivalent to the given expression:

Step 1 - The arithmetic operations can be used in order to determine the expression which is equivalent to the given expression.

Step 2 - Write the given expression.

[tex]\dfrac{4a+4}{2a}\times \dfrac{a^2}{a+1}[/tex]

Step 3 - Simplify the above expression by multiplication.

[tex]= \dfrac{4a^2+4a}{2a+2}[/tex]

Step 4 - Take the 2 common from the numerator and denominator.

[tex]= \dfrac{2a(a+1)}{a+1}[/tex]

Step 5 - Further, simplify the above expression.

= 2a

Therefore, the correct option is C).

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