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Fofino [41]
3 years ago
9

(x5 + y5) ÷ (x + y) please answer ASAP

Mathematics
1 answer:
Shkiper50 [21]3 years ago
3 0

Answer:

\frac{x^5+y^5}{x+y}=x^4-x^3y+x^2y^2-xy^3+y^4

Step-by-step explanation:

Given the expression

\left(x^5+y^5\right)\div \left(x+y\right)

\mathrm{Apply\:factoring\:rule:\:}x^n+y^n=\left(x+y\right)\left(x^{n-1}-x^{n-2}y+\:\dots \:-\:xy^{n-2}\:+\:y^{n-1}\right)\:\quad \quad \mathrm{n\:is\:odd}

x^5+y^5=\left(x+y\right)\left(x^4-x^3y+x^2y^2-xy^3+y^4\right)

=\frac{\left(x+y\right)\left(x^4-x^3y+x^2y^2-xy^3+y^4\right)}{x+y}

Cancel the common factor: x+y

=x^4-x^3y+x^2y^2-xy^3+y^4

Thus,

\frac{x^5+y^5}{x+y}=x^4-x^3y+x^2y^2-xy^3+y^4

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Rhombus, all sides are equill
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3 years ago
I really need help with this thanks a lot
aleksandrvk [35]

Answer:

  • Graph B

Step-by-step explanation:

<u>According to data in the table we see pairs of points:</u>

  • (3, 75), (5, 125)

<u>This gives us the rate of change:</u>

  • (125 - 75)/(5 - 3) = 50/2 = 25

<u>The y - intercept is zero:</u>

  • 75 = 3*25 + b
  • 75 = 75 + b
  • b = 0

<u>The line is:</u>

  • y = 3x

This is the line on the graph B

<u>Note.</u> <em>Its not clear what is needed regarding the table on the bottom</em>

8 0
2 years ago
Which points do the graph of f and g have in g(x)=log2x and g(x)=log10x
Pie

Logarithmic are inverse of exponential functions. The point where graph of f and g intersect is (0, ∞)

<h3>Logarithmic function</h3>

Logarithmic are inverse of exponential functions. Given the following functions;

g(x)=log2x and g(x)=log10x

The point where the graphs intersect is the point where g(x) = g(x)

Equate

log2x = log10x

2x = 10x

The value of x that made them equal is 0

Determine the value of g(x)

g(0) = log2(0)

g(0) = ∞

Hence the point where graph of f and g intersect is (0, ∞)

learn more on log function here: brainly.com/question/13473114

#SPJ1

7 0
2 years ago
1/7 ÷ 4/9 = _ × _=_​
pogonyaev
1/7 x 9/4 = 9/28

This process to solving division involving fractions is called “keep, change, flip”
8 0
3 years ago
575 mL = how many Liters​
olasank [31]

Answer:

0.575L

Step-by-step explanation:

1mL = 0.001L

We need to divide the number milliliters we are given and divide that by 1000.

575 / 1000 = 0.575

Best of Luck!

5 0
3 years ago
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