Question

Which expression is equivalent to the expression below? startfraction 6 c squared 3 c over negative 4 c 2 endfraction divided by startfraction 2 c 1 over 4 c minus 2 endfraction startfraction 3 c (2 c minus 1) over 2 c 1 endfraction startfraction negative 3 c (2 c 1) squared over 4 (2 c minus 1) squared endfraction 3c –3c

Answer 1

The expression that is equivalent to the expression [(6c² + 3c)/(-4c + 2)] ÷ [(2c + 1)/(4c - 2)] is; -3c

What is a simplification of fractions?

Simplification of fractions is the process of reducing fractions that involves making the fraction as simple as feasible.

We achieve this by dividing the numerator and denominator by the greatest integer that divides perfectly into both numbers.

The given expression is;

$\frac{[(6c^2 + 3c)(-4c + 2)] }{[(2c + 1)/(4c - 2)]}$

On Simplifying the fraction equation by factorization we obtained ;

$\frac{[3c(2c + 1)/(-2(2c - 1))]}{[(2c + 1)/(2(2c - 1)]}$

$\frac{[3c(2c + 1) }{(-2(2c - 1))] \times [(2(2c - 1)/(2c + 1)]}$

$-3c$

Hence he expression that is equivalent to the expression [(6c² + 3c)/(-4c + 2)] ÷ [(2c + 1)/(4c - 2)] is; -3c

To learn more about the simplification of fractions refer to the link;

https://brainly.com/question/11479469