Question

Simplify completely 8x^3 ÷ 6x^2 - 4x / -2x

Answer 1

Answer:

Simplified form is $-(\frac{8x^{3}}{3x-2})$.

Step-by-step explanation:

The given expression is $8x^{3}\div \frac{6x^{2}-4x}{-2x}$

We can rewrite the given expression as $= 8x^{3}\times (-\frac{2x}{{6x^{2}-4x}})$

Further simplification of the expression gives $=\frac{-16x^{4}}{6x^{2}-4x}$

$=\frac{-16x^{4}}{2x(3x-2)}$

$=-(\frac{8x^{3}}{3x-2})$

So the simplified of the given expression is $=[tex]-(\frac{8x^{3}}{3x-2})$

Answer 2

Answer:

$-\frac {8x^3} {3x-2}$

Step-by-step explanation:

We are given the following expression and we are two divide these two terms:

$\frac {8x^3} {\frac {6x^2 - 4x} {-2x} }$

To simplify this, we will take the reciprocal of the fraction in the denominator of this expression to change it to multiplication.

$8x^3$ × $\frac {-2x} {6x^2 - 4x}$

Taking the common terms out to get:

$8x^3$ × $\frac{-2x}{2x(3x-2)}$

Cancelling the like terms to get:

$-\frac{8x^3}{3x-2}$