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Mathematics 21 Online
OpenStudy (anonymous):

simplify completely:

OpenStudy (anonymous):

OpenStudy (anonymous):

@beccaboo333

OpenStudy (agent0smith):

break it up like so\[\Large \frac{ 5x^3 }{ 5x } + \frac{ 10x^2 }{ 5x } + \frac{15x }{ 5x } \]

OpenStudy (anonymous):

then what do you do?

OpenStudy (mathstudent55):

5x^3/5x = ? 10x^2/5x = ? 15x/5x = ?

OpenStudy (mathstudent55):

\(\dfrac{5x^3}{5x} + \dfrac{10x^2}{5x} + \dfrac{15x}{5x} \) \(=\dfrac{5x\cdot x^2}{5x} + \dfrac{2\cdot 5x\cdot x}{5x} + \dfrac{3 \cdot 5x}{5x} \) \(=\dfrac{\cancel{5x}\cdot x^2}{\cancel{5x}1} + \dfrac{2\cdot \cancel{5x}\cdot x}{\cancel{5x}1} + \dfrac{3 \cdot \cancel{5x}}{\cancel{5x}1} \) What's left?

OpenStudy (anonymous):

1x^2 + 3x + 4? I think im wrong :/

OpenStudy (anonymous):

@mathstudent55

OpenStudy (mathstudent55):

\(=\dfrac{\cancel{5x}\cdot \color{red}{x^2}}{\cancel{5x}1} + \dfrac{\color{red}{2}\cdot \cancel{5x}\cdot \color{red}{x}}{\cancel{5x}1} + \dfrac{\color{red}{3} \cdot \cancel{5x}}{\cancel{5x}1}\) I colored what is left red.

OpenStudy (anonymous):

so the answer is x^2+2x+3?

OpenStudy (mathstudent55):

correct

OpenStudy (anonymous):

can you help me with another one?

OpenStudy (mathstudent55):

not now. i have to go.

OpenStudy (anonymous):

okay :/

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