![mprjug6](/avatars/7137.jpg)
mprjug6
22.10.2020 •
Mathematics
“Every simply-connected, closed 3-manifold is homeomorphic to S^3,” which essentially says “the simplest 4-D shape is the 4-D equivalent of a sphere.” True. False
Solved
Show answers
More tips
- H Health and Medicine How to Get Rid of Dandruff?...
- S Sport How to Choose Tennis Rackets?...
- H Health and Medicine AKDS Vaccination: Ensure Your Child s Safety...
- H Health and Medicine Naskol ko Opasen Ukus Kleshcha i Kak Ego Raspoznat...
- C Computers and Internet How to Delete Your Account on Odnoklassniki...
- H Health and Medicine What to Do When Your Jaw Locks Up?...
- G Goods and services What Are the Most Popular Services?...
- P Philosophy How did the concept of module arise in computer science?...
Answers on questions: Mathematics
- M Mathematics George is 2 years older then sam and sam is 3 years older then alex. the total of their ages is 35. write and solve the equation to find the ages of george. sam...
- M Mathematics Factor completely -16x^2+24x+16 *best answer gets brainliest...
- M Mathematics Law of cosines: a2 = b2 + c2 – 2bccos(a) what is the measure of y to the nearest whole degree? 58° 64° 68° 73°...
- M Mathematics Talib is trying to find the inverse of the function to the right. his work appears beneath it. is his work correct? explain your answer....
- M Mathematics The ratio of boys to girls in the school chorus is 3: 2. if there are 39 boys in the chorus, how many girls are in the chorus?...
- M Mathematics The area of a bathroom floor is 24 square feet. if the width of the bathroom is 6 feet, what is the length of the bathroom?...
- M Mathematics Sammy counted peanuts in several packages of roasted peanuts. he found that the bags had 102, 114, 97, 85, 106, 120, 107, and 111 peanuts. should he make a box plot...
- M Mathematics What are the 3 numbers in marlene s puzzle if the quotient of a & c is 8, the quotient of a & b is -16, the quotient of b & c is -0.5, the product of...
- M Mathematics Apryamid and a cone are both 10 centimetres tall and have the same volume. what statement must be true about the two solids?...
- M Mathematics What is the approximate volume of the sphere? use 3.14 to approximate pi and round your answer to the nearest hundredth if necessary. 166.67 mm³ 392.50 mm³ 523.33...
Ответ:
first one
(x+4)(x-4)
first: x*x=x²
inner: 4*x=4x
outer:x*-4=-4x
last:4*-4=-16
add
x²+4x-4x-16=x²-16=x²-4²
basically
a²-b²=(a+b)(a-b)
so
(5x+1)(5x-1)=(5x)²-1²=25x²-1
(2a+3b)(2a-3b)=(2a)²-(3b)²=4a²-9b²
you can check the foils with very little brainwork
basically notice that (a+b)(a-b) ends up with a²+ab-ab+b², the ab's in middle cancle out all the time
1.
4=2²
a²-2²=(a+2)(a-2)
2.
64=8²
n²-8²=(n+8)(n-8)
3.
81=9²
9²-x²=(9+x)(9-x)
4.
100=10²
c²-10²=(c+10)(c-10)
5.
25=-25*-1=-5²*i²=-(5i)² (i=√-1)
k²-(5i)²=(k+5i)(k-5i)
6.
49y²=(7y)²
1²-(7y)²=(1+7y)(1-7y)
7.
9b²=(3b)²
(3b)²-10²=(3b+10)(3b-10)
8.
25x²=(5x)²
(5x)²-7²=(5x+7)(5x-7)
9.
16a²=(4a)²
121=11²
(4a)²-11²=(4a+11)(4a-11)
10.
81y²=(9y)²
x²-(9y)²=(x+9y)(x-9y)
11.
4h²=(2h)²
25g²=(5g)²
(2h)²-(5g)²=(2h+5g)(2h-5g)
12.
64u²=(8u)²
(8u)²-v²=(8u+v)(8u-v)
13.
x²y²=xxyy=(xy)(xy)=(xy)²
(xy)²-1²=(xy+1)(xy-1)
14.
81n⁴=(9n²)²
(9n²)²-5²=(9n²+5)(9n²-5)
notice we can further factor the last factor (9n²-5) with
(3n)²-(√5)² to obtain (3n+√5)(3n-√5)
in all, the factored form complete is
(9n²+5)(3n+√5)(3n-√5)
not including imaginary numbers