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Aloiza [94]
3 years ago
11

Prove this polynomial identity... (x − y)(x2 + 2xy + y2)

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
6 0
  • <em>Answer:</em>

<em>x³ + x²y - xy² - y³</em>

  • <em>Step-by-step explanation:</em>

<em>Hi there !</em>

<em>(x − y)(x² + 2xy + y²) =</em>

<em>= x(x² + 2xy + y²) - y(x² + 2xy + y²)</em>

<em>= x³ + 2x²y + xy² - x²y - 2xy² - y³</em>

<em>= x³ + x²y - xy² - y³</em>

<em>Good luck !</em>

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If the diameter is 6 feet what is the circumference in feet
Nataly_w [17]

Answer:

<h2>18.850 - feet</h2><h2>226.19 - inches</h2><h2>18′ 10.19″ - feet and inches</h2><h2>5.7453 - meters</h2><h2>574.53 - centimeters</h2>

7 0
3 years ago
Find 3 solutions that satisfy the equation -5x=10+2y
Dominik [7]

Answer:

(2, -10)

(4, -15)

(6, -20)

Step-by-step explanation:

First you should simplify the equation.

-5x=<u>10</u>+2y

-5x-10=<u>2y</u>

<u>-2.5x-5=y</u>

Then put in any number in for x. since we have a decimal I'll make the numbers I put in even the keep the solution whole numbers.

<u>Putting in 2 gives you -10 so (2, -10) is a solution.</u>

<u>Putting in 4 gives you -15 so (4, -15) is a solution.</u>

<u>Putting in 6 gives you -20 so (6, -20) is a solution.</u>

3 0
2 years ago
Make a conjecture: How many solutions does a quartic equation x4 + ax3 + bx2 + cx + d = 0 have? Explain.
mrs_skeptik [129]

Answer:

It has 4 solutions

Step-by-step explanation:

Quartic equations are simply defined as polynomials that have a degree of four.

Therefore, it will have four roots. These 4 roots are complex roots because they may have real and imaginary solutions. I said it may have real and imaginary roots because it's not every quartic equation that will have four real roots because for example, it could have real roots of maybe 0, 1, 2, 3, 4 and also imaginary roots to make it four roots in total.

5 0
3 years ago
How do you estimate fractions?Like 1/4 times 1/9
algol13
Get the same base number like 9x4 = 36
6 0
3 years ago
How many triangles can be constructed with angles measuring 10º, 80º, and 90º?
Feliz [49]
The answer is A. more than one, because you can create one, but then you can move the angles around. So if the angles in order go 10°, 80°, 90°, you could change the order to 90°, 10°, 80°, or something. I hope this helps!

4 0
3 years ago
Read 2 more answers
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