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2 years ago

Factorize: a^4+2xa³+a²x²-y^4

Mathematics

2 answers:

Art [367]2 years ago

5 0

9514 1404 393

Answer:

(a^2 +ax -y^2)·(a^2 +ax +y^2)

Step-by-step explanation:

This can be factored as the difference of squares.

a^4 +2a^3x +a^2x^2 - y^4 = a^2(a+x)^2 - y^4

= (a(a+x) -y^2)(a(a+x) +y^2)

= (a^2 +ax -y^2)·(a^2 +ax +y^2)

mart [117]2 years ago

4 0

Answer:

(a^2+ax-y) (a^2+ax+y^2)

Step-by-step explanation:

a^4+2xa³+a²x²-y^4

(a^2+ax)^2-y^4

(a^2+ax-y) (a^2+ax+y^2)

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To solve y and x, I am adding a picture

Viktor [21]

Answer:

$x =\sqrt 5$

$y = \sqrt{5$

Step-by-step explanation:

Given

The attached triangle

Required

Solve for x

Considering angle 45 degrees, we have:

$\cos(45) = \frac{y}{\sqrt{10}}$ --- cosine formula i.e. adj/hyp

Solve for y

$y = \sqrt{10} * \cos(45)$

In radical form, we have:

$y = \sqrt{10} * \frac{1}{\sqrt 2}$

$y = \sqrt{10/2}$

$y = \sqrt{5$

To solve for x, we make use of Pythagoras theorem

$x^2 + y^2 = (\sqrt{10})^2$

$x^2 + y^2 =10$

Substitute for y

$x^2 + (\sqrt 5)^2 =10$

$x^2 + 5 =10$

Collect like terms

$x^2 =10-5$

$x^2= 5$

Solve for x

$x =\sqrt 5$

4 0

2 years ago

In the equation f(x) = 3(x – h) 2+ k, what does (h,k) tell?

oee [108]

Answer:

(h,k) shows the coordintes of the turning point.

7 0

3 years ago

Read 2 more answers

out of 125 children at summer camp 45 signed up for swimming 38 for arts and crafts if a child is randomly selected what is the

anzhelika [568]

P(s) = 45/125 = 0.360
P(A&C) = 38/125 = 0.304
Probability that one is not in Arts and Crafts = 1- P(A&C) = 1-0.304 = 0.696

Therefore,
Probability that the child selected is in swimming when its known they didn't sign for Arts and craft = Probability they signed for swimming * Probability that they didn't sign for Arts and Crafts = 0.360*0.696 = 0.25056

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3 years ago

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3. Joe has enough money to purchase up three video games that cost $25 each

zaharov [31]

Answer:

75$ i think lol I did not get the question

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2 years ago

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I was wondering if you could show How you got the answer. And its not 6 I already tried TvT. Im looking for the surface area of

PIT_PIT [208]

Answer:

22, I think

Step-by-step explanation:

You count all the squares on all of the faces.

So you count the two on the top and double it for the bottom, so four

Then, on the sides you have three so you double that and get six

Next, you double the six squares on the other side and get twelve.

Lastly, you add them up!

4 + 6 + 12

Hope this helps!

3 0

2 years ago