Question

Chelsea and Pedro manipulated the rational expression \dfrac{14k^3 + 7k^2}{7k^3 + 14k^2} 7k 3 +14k 2 14k 3 +7k 2 ​ start fraction, 14, k, cubed, plus, 7, k, squared, divided by, 7, k, cubed, plus, 14, k, squared, end fraction. Their responses are shown below.

Answer 1

Both Chelsea and Pedro wrote an expression that is equivalent to the original expression

Explanation:

first simplify the expression 14k^3 + 7k^2 / 7k^3 + 14k^2 can you get Chelsea's expression. If you simplify Pedro's equation you get the same expression as Chelsea's

Answer 2

Explanation:

`(14k^3+7k^2)/(7k^3+14k^2) =(7k^2(2k+1))/(7k^2(k+2)) =(2k+1)/(k+2)}`