Question

Which expression is equivalent to StartFraction 4 a 4 Over 2 a EndFraction times StartFraction a squared Over a 1 EndFraction? StartFraction 2 (a 1) squared Over a cubed EndFraction 6a 2a StartFraction 6 a squared Over a 1 EndFraction.

Answer 1

To solve the expression, we must know about an expression.

Expression

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations that are formed according to rules which are dependent on the context.

The solution of the expression is 2a.

Given to us

$\dfrac{4a+4}{2a}\times \dfrac{a^2}{a+1}$

Solution

$\dfrac{4a+4}{2a}\times \dfrac{a^2}{a+1}$

Multiplying both we get,

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

Taking 4 as common from the numerator,

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

Canceling (a+1) from both numerator and denominator,

$=\dfrac{4a^2}{2a}$

Expanding further,

$=\dfrac{2\times 2 \times a \times a}{2 \times a}$

Canceling 2 and a,

= 2a

Hence, the solution of the expression is 2a.

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