Are 2 times x plus 4 all over 3 times x plus 6 and 2 over 3 equivalent expressions? Using complete sentences explain why or why not.
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OpenStudy (unklerhaukus):
\[\frac{2\times x +4 }{3\times x+6}\]
OpenStudy (unklerhaukus):
is that right?
OpenStudy (anonymous):
yes
OpenStudy (unklerhaukus):
can you factorise the numerator and the denominator
OpenStudy (anonymous):
its ok I figured out the question but thanks any way
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OpenStudy (unklerhaukus):
what did you find?
OpenStudy (anonymous):
that yes it is a equivalent expression.
OpenStudy (unklerhaukus):
did you form a complete sentence ?
OpenStudy (anonymous):
This is because when you factorize those two factors, you are able to get 2/3 with the same x+2
Cancel the x+2 since they are 1. (Egs. 1/1 is equal to 1. 2/2 is equal to 1. So (x+2)/(x+2) is also equals to 1)
You get 2/3 as the answer.
OpenStudy (unklerhaukus):
Well thats the right method,
but you should say
"..factorize the numerator and denominator"
or
"..factorize the the top and bottom of the fraction"
The denominator isn't really are 'factor'
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