find the sum 1/ b^2c + b/ c^2
\[\frac{1}{b^2c}+\frac{b}{c^2}\] common denominator will be \(b^2c^2\)
\[\frac{ 1 }{ b ^{2}c }+\frac{ b }{ c ^{2} }\]
\[\frac{c}{b^2c^2}+\frac{b^3}{b^2c^2}=\frac{c+b^3}{b^2c^2}\]
im confused
lets go slow
please
\[\frac{ 1 }{ b ^{2}c }+\frac{ b }{ c ^{2} }\] is the original question in order to add fractions, the denominators have to be the same
correct
if you wanted to add \[\frac{1}{3^2\times 5}+\frac{3}{5^2}\] what denominator would you have to use?
\[3^{2}*5^{2}\]
you need each factor you see to the highest power you see it so the common denominator for \(3^25\) and \(5^2\) would be \[3^2\times 5^2\]
exactly !
and you would have to multiply \(\frac{1}{3^2\times 5}\) by \(\frac{5}{5}\) to get \[\frac{5}{3^2\times 5^2}\]
i have alot of these to do and i have no clue how to do them so do you mind helping me with them and thats where you lost me
at the last step? lets make sure that is clear
\[\frac{1}{3^2\times 5}+\frac{3}{5^2}\] we have to write each fraction with the same denominator \(3^2\times 5^2\) right?
\[\frac{1}{3^2\times 5}\times \frac{5}{5}=\frac{5}{3^2\times 5^2}\\ \frac{3}{5^2}\times \frac{3^2}{3^2}=\frac{3^3}{3^2\times 5^2}\]now that the denominators are the same you can add them
still lost or did you get that part?
i will help you with the others, but lets finish this one first
okay thanks and why do you multiply 5 and 3
in my example \[\frac{1}{3^2\times 5}\] the denominator is missing a \(5\) to take is \(3^2\times 5^2\) so you have to multiply top and bottom by \(5\)
ooohh okay that makes sense
similarly \[\frac{3}{5^2}\] the denominator is missing \(3^2\) so you have to multiply top and bottom by \(3^2\) to build up that fraction
now we do exactly the same thing, only with \(b\) and \(c\) instead of \(3\) and \(5\)
okay
\[\frac{ 1 }{ b ^{2}c }+\frac{ b }{ c ^{2} }\] common denominator is \(b^2\times c^2\)
the first one multiply top and bottom by \(c\) to get the common denominator
the second one multiply top and bottom by \(b^2\) to get the common denominator lets cut to the chase
\[\frac{ 1 }{ b ^{2}c }+\frac{ b }{ c ^{2} }\] \[\frac{c}{b^2c^2}+\frac{b^3}{b^2c^2}=\frac{c+b^3}{b^2c^2}\]
makes a little more sense
first fraction multiplied top and bottom by \(c\) second one top and bottom by \(b^2\)
wanna try another?
yeah
name it
one sec gotta load the page
something is wrong with my internet so i will have to get it to work later i will send you a message saying im on
k good luck
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