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Question 4 (Multiple Choice Worth 1 points)


Simplify completely quantity 8 x minus 56 over quantity x squared minus 49 divided by quantity x minus 6 over quantity x squared plus 11 x plus 28


a.4 open parentheses x plus 4 close parentheses over quantity x minus 3


b.8 open parentheses x plus 2 close parentheses over quantity x minus 3


c.8 open parentheses x plus 4 close parentheses over quantity x minus 7


d.8 open parentheses x plus 4 close parentheses over quantity x minus 6

Verified Answer :

Hagrid

The right answer for the question that is being asked and shown above is that: "d.8 open parentheses x plus 4 close parentheses over quantity x minus 6" The simplified that completely quantity 8 x minus 56 over quantity x squared minus 49 divided by quantity x minus 6 over quantity x squared plus 11 x plus 28 is that 8 open parentheses x plus 4 close parentheses over quantity x minus 6

metchelle

Translating the worded problem into mathematical form, the following expression was obtained: ( 8x - 56 / x^2 - 49 ) / (x - 6 / x^2 + 11x + 28)

Simplifying:

( 8x - 56 / x^2 - 49 ) ( x^2 + 11x + 28 / x - 6)

Factoring out:

( 8(x-7) / (x+7)(x-7) ) ( (x+7)(x+4) / x - 6 )

Cancelling out (x-7) and (x+7):

8(x+4) / (x-6)

Therefore, the correct answer is D.

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