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Umnica [9.8K]
3 years ago
14

Fine the product mentally. [(x+1) (x-1)^2

Mathematics
2 answers:
Murljashka [212]3 years ago
5 0
If the product is: [(x+1) (x-1)]^2 , the answer is:
[(x+1) (x-1)]^2 = [x^2-1]^2 = x^4-2x^2+1
Helga [31]3 years ago
5 0

Answer:

x^4 - 2x^2 +1

Step-by-step explanation:

[(x+1) (x-1)]^2

We notice that this is the difference of squares

a^2 -b^2 = (a+b) (a-b)

Since we have (x+1) (x-1) , it simplifies to (x^2 -1)

[x^2-1]^2

We know  (a-b)^2  is a^2 -2ab +b^2

[x^2-1]^2 = x^4 - 2x^2 +1

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The perimeter of the figure below is 179.3 ft. Find the length of the missing side.
antoniya [11.8K]

Answer:

13 ft

Step-by-step explanation:

8(13.3) + 2(23.8) + 12.3 = 166.3

179.3 - 166.3 = 13

4 0
3 years ago
Read 2 more answers
Which which value is not located between square root 9/3 2n
tangare [24]

3 and -3 are said to be the square roots of 9. A square root is written with a radical symbol √ and the number or expression inside the radical symbol, below denoted a, is called the radicand. ... Negative numbers don't have real square roots since a square is either positive or 0.

7 0
3 years ago
Which sentence below represents the number of test questions in the problem below?
katrin2010 [14]

Answer: there are 10 multiple choice questions and 15 short-answer questions

Step-by-step explanation:

Let x represent the number of multiple choice questions in the test.

Let y represent the number of short-answer questions in the test.

If the test has 25 questions, it means that

x + y = 25

Multiple-choice questions are worth 2 points, and short-answer questions are worth 4 points. The test is worth a total of 80 points. It means that

2x + 4y = 80 - - - - - - - -1

Substituting x = 25 - y into equation 1, it becomes

2(25 - y) + 4y = 80

50 - 2y + 4y = 80

- 2y + 4y = 80 - 50

2y = 30

y = 30/2 = 15

x = 25 - y = 25 - 15 = 10

A. The number of multiple-choice questions plus the number of short-answer questions is 25.

4 0
3 years ago
The domain of the following relation R {(3, −2), (1, 2), (−1, −4), (−1, 2)} is
LUCKY_DIMON [66]
Given:
  3, -2
  1,  2
-1, -4
-1,  2

The format is (x,y)

The domain is all the x-values while range is all the y-values.

domain: (3,1, -1,-1) 2nd option given.

4 0
4 years ago
Find the volume of the Triangular Prism<br> Volume
Crank

Answer:

Volume = 144 m³

Step-by-step explanation:

Volume of triangular prism = ½*b*h*l

Where,

Base of triangular base (b) = 4 m

Height of triangular base (h) = 12 m

Length of prism (l) = 6 m

Volume = ½*4*12*6

Volume = 2*12*6 = 144 m³

5 0
3 years ago
Read 2 more answers
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