Question

Pls Halp...

Answer 1

Answer:

The expression as a sum of terms is $2\cdot a^{\frac{3}{2} } - 4\cdot a^{-\frac{1}{2} }$.

Step-by-step explanation:

The expression to be rewritten has the following form:

$\sqrt{a} \cdot (2\cdot a^{2}-\frac{4}{a} )$

A polynomial as a sum of terms consists in a sum of terms of the form $c_{i} \cdot a^{k(i)}$, where $c_{i}$ and $k_{i}$ are the i-th coefficient and exponent. The expression has to be expanded to create the sum of terms:

$a^{\frac{1}{2} }\cdot (2\cdot a^{2} - 4\cdot a^{-1})$

$2\cdot a^{1 + \frac{1}{2} } - 4\cdot a^{-1+\frac{1}{2} }$

$2\cdot a^{\frac{3}{2} } - 4\cdot a^{-\frac{1}{2} }$

The expression as a sum of terms is $2\cdot a^{\frac{3}{2} } - 4\cdot a^{-\frac{1}{2} }$.