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3 years ago

Factorize: a^4+2xa³+a²x²-y^4

Mathematics

2 answers:

Art [367]3 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]3 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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What is the percent from 39 to 17

AlladinOne [14]

Answer: 56.4102564% decrease

Explanation: First determine whether the number is increasing or decreasing. Since it changes from 39 to 17, it's going down so it's decreasing.

Now to find the percent decrease,

we divide the amount of change by the original number.

The amount of change is the difference between the two numbers

which in this case is 39 - 17 and the original number is 39.

$So$ $we$ $have$ $\frac{39 - 17}{39}$

39 - 17 is 22 so we're left with $\frac{22}{39}$ which gives us 56.4102564

Remember however that our problem is asking for a <em>percent</em>, not a decimal. So we need to write 56.4102564 as a percent by moving the decimal point 2 places to the right to get 56.4102564.

So when a number changes from 39 to 17, it has decreased by 56.4102564%.

4 0

3 years ago

6. Sharon divides a meatloaf into elevenths. How many elevenths equals the whole meatloaf?

Andreas93 [3]

Answer:

11 elevenths equal a whole meatloaf

11/11=1

7 0

2 years ago

Read 2 more answers

At the local market, Bill buys 3 juice boxes and 2 hot dogs at a cost of $8, while Sarah buys 2 juice boxes and 1 hot dog at a c

baherus [9]

Answer:

The cost of each juice boxes is $ 2

The cost of each hot dogs is $ 1 .

Step-by-step explanation:

Given as :

The amount which Bill pays for 3 juice boxes and 2 hot dogs = $ 8

The amount which Sarah pays for 2 juice boxes and 1 hot dogs = $ 5

Let The cost of each juice boxes = $ j

And The cost of each hot dogs = $ h

Now, According to question

3 j + 2 h = 8 .........A

2 j + 1 h = 5 ..........B

Now, solving the equations

2 × ( 2 j + 1 h ) = 2 × 5

or, 4 j + 2 h = 10

I.e ( 4 j + 2 h ) - ( 3 j + 2 h ) = 10 - 8

Or, ( 4 j - 3 j ) + ( 2 j - 2 h ) = 2

Or, j + 0 = 2

∴ j = 2

So , The cost of each juice boxes = j = $ 2

Now, Put the value of j in Eq A

I.e 3 × 2 + 2 h = 8

Or, 6 + 2 h = 8

Or. 2 h = 8 - 6

or, 2 h = 2

∴ h = $\frac{2}{2}$ = 1

So, The cost of each hot dogs = h = $ 1

Hence The cost of each juice boxes is $ 2

And The cost of each hot dogs is $ 1 . Answer

4 0

3 years ago

Help pls! this is due tonight. thanks!

erma4kov [3.2K]

Answer:

Neon: 0

Oxide: -2

Copper: 2

Tin: 0

Step-by-step explanation: To solve you must add/subtract the numbers to get the charge, for example if its -30 charge from electrons and 10 charge from protons, -30 + 10 = -20 therefore the charge is -20

6 0

3 years ago

Read 2 more answers

A room has three lightbulbs. Each one has a 30% probability of burning out within the month. Write the probability as a percenta

lesantik [10]

Answer:

97.3%

Step-by-step explanation:

Let the three bulbs be A, B and C respectively.

Let P(A) denote the probability that the first bulb will burn out

Let P(B) denote the probability that the second bulb will burn out

Let P(C) denote the probability that the third bulb will burn out

Now, we are told that Each one has a 30% probability of burning out within the month.

Thus;

P(A) = P(B) = P(C) = 30% = 0.3

Now, probability that at the end of the month at least one of the bulbs will be lit will be given as;

P(at least one bulb will be lit) = 1 - (P(A) × P(B) × P(C))

P(at least one bulb will be lit) = 1 - (0.3 × 0.3 × 0.3) = 0.973 = 97.3%

3 0

3 years ago