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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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3 years ago
What procedure will find the sum a+b of two numbers where a and b represent any integer?
ElenaW [278]

Answer:As rational number includes natural number, whole number ,integers  also.

⇒Natural number(1,2,3,4....) is a rational number also.

So, when A= Natural number , B=Any other natural number

Just add two natural number using simple law of addition.

⇒As Whole numbers(0,1,2,3,...) are Rational number also.

So If A=any whole number, B=Any other whole number

Add the whole number in any order using law of addition.

⇒Coming to integers (....-123,....-5,...-1,....12,....59,.....) By taking any two integers ,

1. Both of them are positive add using simple law of addition.

2. One of them is positive and other is negative , if larger one has positive sign before it just subtract smaller one from larger one and put positive sign before the result.and if larger one has negative sign before it ,subtract smaller one from larger one and put negative sign before the result.

⇒If both of them are negative , just add the two integers and apply negative sign before the result.

4. Rational number as fractions ,

A=m/n and B=p/q

A+B=m/n + p/q

find LCM of n and q.

If n and q are co-prime multiply n and q to get the LCM.For example if n=5, q=7, then LCM=5×7=35

If n and q are not co-prime find the factors of n and q .take out the common factors and then multiply the common factors with those factors which are not common.

For example, n=15, q=20

15=5×3

20=2×2×5

common factor=5

non common factor=2,2,3

LCM=5×2×2×3=60

Suppose LCM(n,q)= K

⇒p/q+m/n

=

So ,

which is the way to find LCM of rational number when theyare fractions.

Step-by-step explanation:

4 0
2 years ago
Mai received a $70 gift card for a coffee store. She used it in buying coffee that cost $8.48 per pound. After buying the coffee
Yuri [45]
Since she had $35.48 on her card.

Amount spent in buying coffee = $70 - $35.48 = $34.52

Cost of coffee = $8.63 per pound

No of pounds = Amount spent / cost per pound

= 34.52 / 8.63 Use your calculator.

= 4
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