Simplifying Fractions Containing Variables (Basic) I appreciate this is very simple, but I'm experiencing a very basic problem with fractions containing variables and I'd just like to check I'm along the right lines. In the following instance: (2(x+7)(3x+1))/(2)=(2)/(2)*(2(x+7)(3x+1))/(1) = (x+7)(3x+1) Does the (2(x+7)(3x+1))/(1) have a denominator of 1 because we have factored out the 2 in the prior step?

Sariah Mcguire 2022-10-24 Answered
Simplifying Fractions Containing Variables (Basic)
I appreciate this is very simple, but I'm experiencing a very basic problem with fractions containing variables and I'd just like to check I'm along the right lines. In the following instance:
2 ( x + 7 ) ( 3 x + 1 ) 2 = 2 2 2 ( x + 7 ) ( 3 x + 1 ) 1 = ( x + 7 ) ( 3 x + 1 )
Does the 2 ( x + 7 ) ( 3 x + 1 ) 1 have a denominator of 1 because we have factored out the 2 in the prior step?
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Answers (1)

benyaep17
Answered 2022-10-25 Author has 11 answers
You made a mistake, you have:
2 ( x + 7 ) ( 3 x + 1 ) 2 = 2 2 ( x + 7 ) ( 3 x + 1 ) 1 = 1 ( x + 7 ) ( 3 x + 1 ) = ( x + 7 ) ( 3 x + 1 )
instead of what you wrote.
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