Answer:
Given
x+y+z=0
⟹x+y=−z
Cubing on both sides
(x+y) 3 =(−z) 3
⟹x 3 +y 3 +3x 2y+3xy 2 =−z 3
⟹x 3 +y 3 +3xy(x+y)=−z 3
⟹x 3+y 3+3xy(−z)=−z 3
⟹x 3 +y 3−3xyz=−z 3
⟹x 3 +y 3 +z 3 =3xyz
Step-by-step explanation:
Hope it is helpful.....
Triangle 3 because its length is longer than the others.
Answer:
I think is the 3rd one but I am not sure
Answer:
188 legs
Step-by-step explanation:
A game of legs!!
In this question, we are asked to calculate the number of legs of animals present in the question.
Let’s first identify the individual brands of animals present. We have ;
4 dogs, 7 bees, 5 cockroaches, 8 spiders, 3 deers, 4 boars and 2 antlers.
A dog has 4 legs; this means total number of legs contributed by the dogs to the pool will be 4 * 4 = 16 legs
A bee has six legs; total number of bees legs is thus 7 * 6 = 42 legs
A cockroach has 6 legs; total number of cockroaches legs is 6 * 5 = 30 legs
8 spiders have a total of 8 * 8 = 64 legs
3 deers, 4 boars and 2 antlers have 4 legs each making a total of 9 * 4 = 36 legs
The total number of legs present is thus; 36 + 64 + 30 + 42 + 16 = 188 legs