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Mathematics 16 Online
OpenStudy (anonymous):

can someone help me

OpenStudy (anonymous):

\[3u^4+4u^3 \over -u^2\]

OpenStudy (anonymous):

would if I could but it is too advanced for me sorry

OpenStudy (owlcoffee):

Do you want to simply it?

OpenStudy (anonymous):

yes

OpenStudy (owlcoffee):

I will suppose you want to simplify the expression you wrote in that response: \[\frac{ 3u^4+4u^3 }{ -2u^2 }\] This is clearly a mathematical expression in the form of a fraction and we can apply any knowledge in fraction we have, and some algebra formulas to simplify it to it's minimum expression but equivalent at the same time. We will first begin by analyzing, we have two terms multiplied by "u" and has different exponent but still higher than the exponent in the denominator, so we will take "u^2" as common factor on the numerator. \[\frac{ u^2(3u^2+4u) }{ -2u^2 }\] so, we can express it as a multiplication to see more clearly that we can cancel the u^2: \[\frac{ u^2 }{ u^2 }. \frac{ (3u^2+3u) }{ -2 }\] \[1.\frac{ 3u^2+4u }{ -2 }\] And it ends like: \[\frac{ 3u^2+4u }{ -2 }\] Something very important to know about fractions is that the denominator can affect all the terms: \[\frac{ 3u^2 }{ -2 }+\frac{ 4u }{ -2 }\] And operating them: \[(-\frac{ 3 }{ 2 })u^2-2u\]

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