# How do you simplify #(x^2 -6x + 5) - (x^2 + x - 2)#?

"Subtracting is the same as adding on the inverse" "The minus sign outside the bracket will change the signs inside"

These both tell us that when the second bracket is removed, the signs of the terms inside will change.

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To simplify the expression ( (x^2 - 6x + 5) - (x^2 + x - 2) ), you distribute the negative sign inside the second parenthesis and then combine like terms:

( (x^2 - 6x + 5) - (x^2 + x - 2) ) ( = x^2 - 6x + 5 - x^2 - x + 2 )

Now, combine like terms:

( = (x^2 - x^2) + (-6x - x) + (5 + 2) ) ( = 0x^2 - 7x + 7 ) ( = -7x + 7 )

So, the simplified expression is ( -7x + 7 ).

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To simplify ((x^2 - 6x + 5) - (x^2 + x - 2)), you first distribute the negative sign inside the parentheses of the second expression. Then, combine like terms. This yields ((x^2 - 6x + 5) - x^2 - x + 2). Next, combine like terms by grouping the terms with the same variables. This results in (x^2 - x^2 - 6x - x + 5 + 2). Finally, simplify the expression further by performing arithmetic operations. Thus, (x^2 - x^2) cancels out, leaving (-6x - x), which simplifies to (-7x). Adding the constants gives (5 + 2 = 7). Hence, the simplified expression is (-7x + 7).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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