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Levart [38]
2 years ago
10

HELPPPPPPPPPPPPPpppp

Mathematics
1 answer:
Dafna1 [17]2 years ago
3 0

8.722 / (-3.56)

Expand \frac{8.722}{-3.56} by multiplying both numerator and denominator by 1000.

\frac{8722}{-3560}

Reduce the fraction \frac{8722}{-3560} to the lowest terms by extracting and cancelling out 178.

-\frac  {49}{20} = -2.45

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Prove that: (a2 - b2)3 + (b2-c2)3+ (c2-a2)3 = 3 (a+b) (b+c) (c+a) (a-b) (b-c) (c-a).
Vanyuwa [196]
L=(a^2-b^2)^3+(b^2-c^2)^3+(c^2-a^2)^3=(*)\\\\(a^2-b^2)^3=a^6-3a^4b^2+3a^2b^4-b^6\\\\(b^2-c^2)^3=b^6-3b^4c^2+3b^3c^4-c^6\\\\(c^2-a^2)^3=c^6-3c^4a^2+3c^2a^4-a^6\\\\(*)=a^6-3a^4b^2+3a^2b^4-b^6+b^6-3b^4c^2+3b^2c^4-c^6+c^6-\dots\\\dots-3c^4a^2+3c^2a^4-a^6\\\\=-3a^4b^2+3a^2b^4-3b^4c^2+3b^2c^4-3c^4a^2+3c^2a^4\\\\=3(-a^4b^2+a^2b^4-b^4c^2+b^2c^4-a^2c^4+a^4c^2)

R=3(a+b)(a-b)(b+c)(b-c)(c+a)(c-a)\\\\=3(a^2-b^2)(b^2-c^2)(c^2-a^2)\\\\=3(a^2b^2-a^2c^2-b^4+b^2c^2)(c^2-a^2)\\\\=3(a^2b^2c^2-a^4b^2-a^2c^4+a^4c^2-b^4c^2+a^2b^4+b^2c^4-a^2b^2c^2)\\\\=3(-a^4b^2+a^2b^4-b^4c^2+b^2c^4-a^2c^4+a^4c^2)\\\\L=R
5 0
3 years ago
Read 2 more answers
Help pls!<br> simplify<br> -6 x^{2} ÷ 12 - 2(-7)<br><br> a. -17<br> b. 35<br> c. -35<br> d. 11
Mariana [72]

Answer:

11

Step-by-step explanation:

Given: \frac{-6^{2}}{12} -2(-7)

Using PEDMAS rule to solve it.

Now, simplifying:

We first open parenthesis which is (-7) = -7

= \frac{-6^2}{12}-2\times -7

Now, we evaluate the exponent which is -6^2=-36

Next, we divide -36 by 12 to get -3

= \frac{-36}{12}-2\times -7 \\= -3 -2\times -7

Next, we multiply -2 and -7 to get 14

= -3 + 14

Lastly, we add -3 and 14 to get 11

= 11

∴ Answer is 11

5 0
3 years ago
What equation has a solution of 2/3 for x
Ahat [919]

Answer:

D

Step-by-step explanation:

Hope this helped! Please tell me if I'm wrong!

6 0
2 years ago
Which of the following is a trinomial with a constant term?
Leto [7]
I think the answer is b
4 0
3 years ago
Can you help me please?
noname [10]

Answer:

the answer is 2.620

Step-by-step explanation:

the way u will get this is at the top there pattern is adding the bottom they are subtracting 2

8 0
3 years ago
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