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Rufina [12.5K]
2 years ago
6

HELP AGAIN PLSSSSSSS

Mathematics
1 answer:
SVETLANKA909090 [29]2 years ago
8 0

Answer:

didn't you already do it? im confused

Step-by-step explanation:

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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
2 years ago
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90+(x+5)+(2x-2)=180<br> Will you please help me solve this
Zepler [3.9K]

Step-by-step explanation:

  • 90 + (x + 5) + (2x - 2) = 180
  • x + 5 + 2x - 2 = 180 - 90
  • 3x + 3 = 90
  • 3x = 87
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6 0
2 years ago
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How do I do this problem?
mixer [17]
This kind of problem is easy and hard as the same times.

First you need to find the common factor then take a square root

384=8*8*6 so the answer is 8n^6n

^ = square root ( sorry. Don't know how to do that on a pothole )
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3 years ago
Which value is the solution to the equation 20=y+12 ? ( use substitution to find solutions to equations.)
amm1812

Answer:

8 = y

Step-by-step explanation:

In order to find a solution to an algebraic equation such as this one we simply need to isolate the variable. We do this by applying the opposite operation to each side in order to get rid of the other factors and get the variable alone. Like so...

20 = y + 12   ... we need to subtract 12 from both sides to get rid of the 12 on the right side with the variable y.

20 - 12 = y + 12 - 12

8 = y

Finally, we can see that the value of the variable y is 8

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2 years ago
What is the length of segment of A’B?
tino4ka555 [31]

Answer:

8

Step-by-step explanation:

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2 years ago
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