Question

Divide.
(-13u^6 x^6 + 4ux^6) / (-2u^2 x^5)

Answer 1

Explanation:

(-13u^6 x^6 + 4ux^6) / (-2u^2 x^5) can be rewritten as:

(-13u^6 x^6 + 4ux^6)

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(-2u^2 x^5)

Note that u is common to all terms here. Factoring out u, we get:

(u) [ (-13u^5)(x^6) + 4x^6 ]

--------------------------------------

(u) [-2u (x^5) ]

Reducing this leaves us with:

(-13u^5)(x^6) + 4x^6

--------------------------------------

[-2u (x^5)

Now note that x^5 is common to all terms here. Factoring out x^5, we get:

( -13u^5)(x) + 4x

-------------------------

-2u

This cannot be reduced further, since the 4x term has no u factor.