All categories

3 years ago

(x²-y²)³+(y²-z²)³+(z²-x²)³/(x-y)³+(y-z)³+(z-x)³ evaluate

1 answer:

5 0

We use the fact that if x+y+z = 0, then x³+y³+ z³ = 3 x y z.

(x²-y²) + (y²-z²) + (z²-x²) = 0
also: (x-y) + (y-z)+ (z-x) = 0
we assume that: x ≠y ≠ z.


hence,

(x²-y²)³ + (y²-z²)³ + (z²-x²)³ ÷ (x-y)³ + (y-z)³ + (z-x)³
= 3 (x²-y²) (y²-z²) (z²-x²) ÷ [3 (x-y) (y-z) (z-x)]
= (x+y) (y+z) (z+x)

You might be interested in

33 points!!

Alika [10]

Answer:

the missing length would be 35 mm bc both of them are the same length

Step-by-step explanation: hope this helped

4 0

3 years ago

What is the range of the function y = x 2?

Leno4ka [110]

Answer:

$\mathrm{Range\:of\:}x^2:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}$

The graph is also attached below.

Step-by-step explanation:

Given the function

$y=x^2$

We know that the range of a function is the set of values of the dependent variable for which a function is defined.

$\mathrm{For\:a\:parabola}\:ax^2+bx+c\:\mathrm{with\:Vertex}\:\left(x_v,\:y_v\right)$

$\mathrm{If}\:a$

$\mathrm{If}\:a>0\:\mathrm{the\:range\:is}\:f\left(x\right)\ge \:y_v$

$a=1,\:\mathrm{Vertex}\:\left(x_v,\:y_v\right)=\left(0,\:0\right)$

$f\left(x\right)\ge \:0$

Thus,

$\mathrm{Range\:of\:}x^2:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}$

The graph is also attached below.

5 0

3 years ago

100 PTS PLEASE HELP I DO NOT UNDERSTAND!!!!

vodomira [7]

Hope this help!!!

Have a great day!!!

7 0

3 years ago

Read 2 more answers

James has a recipe that uses 1 1/2 cups of brown and 2 1/3 cups of flour to make 24 muffins. He has a total of 7 cups of sugar.

AURORKA [14]

Answer:

Part A: James needs 10 1/2 cups of sugar if he uses all 7 cups of flour

Part B: James will make 72 muffins if he uses all 7 cups of flour

Step-by-step explanation:

*I had an easier time figuring out part B before I figured out part A

PART B:

If the original recipe uses 2 1/3 cups of flour, and James has 7 cups of flour, I started off by dividing 7 by 2 1/3 to see how many times we can get 2 1/3 cups out of 7 cups. 7 divided by 2 1/3 = 3. Now that we know we can get 3 cups out of 2 1/3 cups, we need to multiply 3 by 24 to find out how many muffins James will get. 24 * 3 = 72

James will get 72 muffins by using 7 cups of flour.

PART A: Now we know that James is making 72 muffins. We need to find out how many cups of sugar James needs. To do that we can multiply 1 1/2 cups by 7. The product is 10 1/2 cups of sugar. Now we know that James needs 10 1/2 cups of flour if he uses all 7 cups of flour.

Hope this helps!!

7 0

3 years ago

HELPP FASTT WILL GIVE BRAINLIEST ANSWER AND THANKS!!!!!!

qaws [65]

Y>2 is the 1st one. x>-4 is the 3rd one. Write the inequality. 1. 3, 2. 3

3 0

3 years ago