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simplify completely quantity 8 x minus 16 over quantity x squared minus 13 x plus 22 and find the restrictions on the variable.
quantity x minus 2 over quantity x minus 11, x ≠ 11
quantity x minus 2 over quantity x minus 11, x ≠ 2, x ≠ 11
8 over quantity x minus 11, x ≠ 11
8 over quantity x minus 11, x ≠ 2, x ≠ 11

The correct option is last, i.e., 8 over quantity x minus 11, x ≠ 2, x ≠ 11.

Explanation:

The given expression is,

Use factoring method to factorise the denominator.

The factors of denominator are (x-11) and (x-2), therefore the function is not defined for x=11 and x=2.

Cancel out the common factor (x-2).

Therefore, the simplified form of the given expression is 8 over quantity x minus 11, x ≠ 2, x ≠ 11, So the last option is correct.