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2 years ago

What is the simplified form of 2 over x squared minus x minus 1 over x ? (2/x^2-x) - (1/x)

Mathematics

1 answer:

sergiy2304 [10]2 years ago

3 0

Answer:

3-x/x(x-1)

Step-by-step explanation:

Given

2/(x^2-x)- 1/x

To simplify, we can take x as common from the denominator of first term

= 2/(x(x-1))- 1/x

Taking LCM of denominators and then using the rules of addition and subtraction of numerators using denominator’s LCM

= (2(1)-(x-1))/(x(x-1))

Solving the brackets

=(2-x+1)/(x(x-1))

= (-x+3)/(x(x-1))

The term can also be written as:

= (3-x)/(x(x-1))

(3-x)/(x(x-1)) is the correct answer ..

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Just a quick explanation on what combine like terms means, it basically just means to combine the coefficients of the numbers associated with the same variables. Like in this example we can combine h and -3h because they have have the variable h associated with them.

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