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gtnhenbr [62]
3 years ago
6

Which of the expressions below could be factored quickly using the "difference of squares"? Select all that apply.

Mathematics
2 answers:
erastova [34]3 years ago
6 0

Answer:

  • 81x² - 12, no as 12 is not a perfect square
  • x^2 + 25, no as it is a sum of squares
  • 4x^2 - 25, yes
  • 9x^2 - 16, yes
  • x^2 - 50, no as 50 is not a perfect square
  • x^2 - 81, yes
  • x^2 - 100, yes
boyakko [2]3 years ago
3 0

Answer:

Difference of squares method is a method that is used to evaluate the difference between two perfect squares.

For example, given an algebraic expression in the form:

can be factored as follows:

From the given expressions, the only expression containing two perfect squares with the minus sign in the middle is the expression in option A.

i.e.  

which can be factored as follows:

.

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"<span>Heather measured a swimming pool and made a scale drawing. In real life, the pool is 45 meters long. It is 65 millimeters long in the drawing. What scale did Heather use for the drawing?"...

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