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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

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Answer:

its D. -3c

Step-by-step explanation:

just took the test

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

  • The fraction we are given to work with is;

[(6c² + 3c)/(-4c + 2)] ÷ [(2c + 1)/(4c - 2)]

  • Simplifying the fraction equation by factorization gives:

[3c(2c + 1)/(-2(2c - 1))] ÷ [(2c + 1)/(2(2c - 1)]

  • Now, in division of fractions, we know that;

3/2 ÷ 1/5 is the same as; 3/2 × 5/1

Applying this same method to our question gives;

[3c(2c + 1)/(-2(2c - 1))] × [(2(2c - 1)/(2c + 1)]

  • 2(2c - 1) is common and will cancel out to get; 3c(2c + 1)/(-1/(2c + 1))

  • 2c + 1 is common and will cancel out to get;  -3c

Read more about simplification of fractions at;https://brainly.com/question/6109670

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