Simplify completely quantity x squared plus 4 x minus 45 all over x squared plus 10 x plus 9 and find the restrictions on the variable. a quantity x minus 5 over quantity x plus 1, x ≠ −1, x ≠ −9 b quantity x minus 5 over quantity x plus 1, x ≠ −1, x ≠ 5 c quantity x plus 5 over quantity x plus 1, x ≠ −1, x ≠ −9 d quantity x plus 5 over x plus 1, x ≠ −1, x ≠ 5, and i know that b is wrong

Option: A is correct (quantity x minus 5 over quantity x plus 1, x ≠ −1, x ≠ −9)

Step-by-step explanation:

We are asked to simplify the expression:

We know that this question could also be written as:

since on using the method of splitting the middle term.

Also x≠ -9 and x≠-1 (since by looking at the denominator term the denominator has to be non zero)

 ;  x≠ -9 and x≠-1

Hence, option A is correct.

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