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3 years ago

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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Write the slope-intercept form of the equation of each line given the slope and y-intercept

amid [387]

The slope-intercept form of the equation for a line is ...
y = (Slope)x + (y-intercept)

Put the given information in the appropriate spot in the equation. Simplify as required.
y = (-1/3)x + 0
can be simplified to

y = (-1/3)x

6 0

3 years ago

Why is 560-500 over 500 multiplied by 100?

Lady_Fox [76]

Answer:

Step-by-step explanation:

560-500=60

60/500*100=12

5 0

3 years ago

Read 2 more answers

In a class of p students, the average (arithmetic mean) of the test scores is 70. in another class of n students, the average of

lys-0071 [83]

First case:

average of test score =70

number of students =p

total score of 'p' students = ( average of test score)*( number of students)

total score of 'p' students =70p

Second case:

average of test score =92

number of students =n

total score of 'n' students = ( average of test score)*( number of students)

total score of 'n' students =92n

total number of students = p+n

total average score =86

so, total score =86(p+n)

total score = total score of 'p' students +total score of 'n' students

$86(p+n)=70p+92n$

now, we can simplify it

$86p+86n=70p+92n$

$86p-70p=92n-86n$

$16p=6n$

now, we can find p/n

$\frac{p}{n}= \frac{6}{16}$

$\frac{p}{n}= \frac{3}{8}$ ................Answer

5 0

3 years ago

Simplify the expression:

krek1111 [17]

Answer:

235a is 1

235b is a^12k+4 i think

3 0

3 years ago

A half-acre building lot is five times as long as it is wide. What are its dimensions?

Gnoma [55]

we know that

A half-acre is equal to----------> $2,023.43\ m^{2}$

Let

x---------> the length side of the building lot

y--------> the width side of the building lot

A------> Area of the building lot

x=5y-------> equation 1

$A=2,023.43\ m^{2}$

$A=x*y$

$2,023.43=x*y$ --------> equation 2

substitute equation 1 in equation 2

$2,023.43=[5y]*y$

$5y^{2}= 2,023.43\\y^{2}= 404.686\\y= 20.11\ m$

<u>Find the value of x</u>

$x=5y---> x=5*20.11--> x=100.55 m$

therefore

<u>the answer is</u>

the dimensions of the building lot are 100.55 m* 20.11 m

6 0

3 years ago