Respuesta :

6u²*(2u-5)²-12u²*(2u-5)*(u+5)

-90u²*(2u-5)

Assignment: [tex]\bold{Factor \ Equation: \ 6u^2\left(2u-5\right)^2-12u^2\left(2u-5\right)\left(u+5\right)}[/tex]

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Answer: [tex]\boxed{\bold{-90u^2\left(2u-5\right)}}[/tex]

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Explanation: [tex]\downarrow\downarrow\downarrow[/tex]

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[ Step One ] Factor Out Common Term [tex]\bold{6u^2\left(2u-5\right)}[/tex]

[tex]\bold{6u^2\left(2u-5\right)\left(2u-5-2\left(u+5\right)\right)}[/tex]

[ Step Two ] [tex]\bold{2u-5-2\left(u+5\right)}[/tex]

[tex]\bold{-15}[/tex]

[ Step Three ] Rewrite Equation

[tex]\bold{-15\cdot \:6u^2\left(2u-5\right)}[/tex]

[ Step Four ] Refine

[tex]\bold{-90u^2\left(2u-5\right)}[/tex]

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[tex]\bold{\rightarrow Mordancy \leftarrow}[/tex]