Question

Factor completely:
6u^2·(2u−5)^2−12u^2·(2u−5)·(u+5)

Answer 1

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

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Answer:
`\boxed{\bold{-90u^2\left(2u-5\right)}}`

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Explanation:
`\downarrow\downarrow\downarrow`

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

`\bold{6u^2\left(2u-5\right)\left(2u-5-2\left(u+5\right)\right)}`

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

`\bold{-15}`

[ Step Three ] Rewrite Equation

`\bold{-15\cdot \:6u^2\left(2u-5\right)}`

[ Step Four ] Refine

`\bold{-90u^2\left(2u-5\right)}`

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`\bold{\rightarrow Mordancy \leftarrow}`

Answer 2

6u²*(2u-5)²-12u²*(2u-5)*(u+5)

-90u²*(2u-5)