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17 November, 04:33

Which expression is in simplified form for the given expression and states the correct variable restriction?

u^2-4 / (u-6) (u-2)

a. 1/u-3, u=3

b. u+2/u-6, u=2, u=6

c. 1/2u+12, u=-6

d. u+2/u-6, u=6

+5
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  1. 17 November, 06:54
    0
    (u^2 - 4) / (u-6) (u-2)

    Resriction u ≠ 6 and u ≠ 2 (because the denominator cannot be equal lto zero)

    Simplification

    u^2 - 4 is a difference of two squares, then you can factor it as the product of (u+2) (u-2). So, you can write the expression as:

    (u+2) (u-2) / (u-2) (u-6)

    Simplify u - 2 (because it appears in the numerator and the denominator)

    (u + 2) / (u - 6), with u ≠2 and u≠6
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