How do you simplify #-5[3 -(x+5)2]#?

Answer 1

I will respond to this query in two different ways.

Version 1: in which I assume the #2# in this expression was meant to be an exponent
#(-5)[3-(x+5)^2]#
Evaluate the inner term first to give #(-5)[3 - (x^2+10x+25)]#
Simplify by combining the values inside the brace brackets that do not involve the variable #x# #(-5)[-x^2-10x-22]#
Multiply the terms inside the brace brackets by the term outside the brace brackets #5x^2 +50x +110#
Version 2: assuming the #2# in the expression was meant as a multiplier of the sub expression
#(-5)[3-(x+5)*2]#
Evaluate the inner product #(-5)[3 - (2x+10)]#
Combine the constant terms inside the brace brackets #(-5)[-2x - 7]#
Multiply the terms inside the brace brackets by the term outside the brace brackets #10x + 35#
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Answer 2

To simplify -5[3 -(x+5)^2], you can follow these steps:

  1. Expand the squared term: (x + 5)^2 = x^2 + 10x + 25
  2. Distribute the -5 to each term inside the brackets: -5(3 - x^2 - 10x - 25)
  3. Combine like terms: -5(3) + 5(x^2) + 50x + 125
  4. Simplify further: -15 - 5x^2 - 50x - 125
  5. Combine like terms: -5x^2 - 50x - 140
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Answer from HIX Tutor

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.

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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