[tex] \frac{ {y}^{2} + y - 6 }{ {6} {y}^{2} + 18y } \div \frac{ {y -}^{2} - 4y + 4 }{4 {y}^{2}z - 8yz } [/tex]
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[tex] \frac{ {y}^{2} + y - 6 }{ {6} {y}^{2} + 18y } \div \frac{ {y -}^{2} - 4y + 4 }{4 {y}^{2}z - 8yz } [/tex]
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『RATIONAL EXPRESSIONS』
[tex]\color{royalblue}┉┉┉┉┉┉┉┉┉┉┉┉┉┉┉┉┉┉┉┉┉┉┉┉┉┉┉┉┉┉┉┉┉[/tex]
[tex]\large{\bold{\tt{{\frac{ {y}^{2} + y - 6 }{ {6} {y}^{2} + 18y } \div \frac{ {y -}^{2} - 4y + 4 }{4 {y}^{2}z - 8yz} =}}}}[/tex]
[tex]\large{\bold{\tt{{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:=\frac{ {y }^{2} + y - 6 }{6 {y}^{2} + 18y}• \frac{ {4}^{2} z - 8yz}{ {y}^{2} - 4y + 4 } }}}}[/tex]
[tex]\large{\bold{\tt{{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:=\frac{\cancel{(y + 3)}\cancel{y - 2}}{\cancel{(2y)}(3)\cancel{(y + 3)}} • \frac{\cancel{(2y)}(2z)\cancel{y - 2}}{\cancel{(y - 2)}\cancel{y - 2}} }}}}[/tex]
[tex]\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\boxed{ \sf\orange {= \frac{2z}{3} } }[/tex]
[tex]\color{royalblue}┉┉┉┉┉┉┉┉┉┉┉┉┉┉┉┉┉┉┉┉┉┉┉┉┉┉┉┉┉┉┉┉┉[/tex]
♨[tex]\large{\bold{\sf{{CarryOnLearningヅ}}}}[/tex]