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yuradex [85]
3 years ago
12

Resolve the factors ( xy+z)^2 (y-xz)^2​

Mathematics
2 answers:
skelet666 [1.2K]3 years ago
5 0

Answer:

=x4y2z2−2x3y3z+2x3yz3+x2y4−4x2y2z2+x2z4+2xy3z−2xyz3+y2z2

Make me brainliest

BlackZzzverrR [31]3 years ago
5 0

Answer:

x2y-x2z-xy2+xz2+y2z-yz2

step by step

step.1

Equation at the end of step 1:(((x2)•(y-z)(+((y2)•(z-x)))+z2•(x-y)

step2

Equation at the end of step2

(((x2)•(yz))+yz•(z-x))+z2•(x-y)

step.3

equation at the end of step 3.

(x2•(y-z)+y2•(z-x))+z2•(x-y)

step4

trying to factor by pulling out:

factoring: x2y-x2z-xy2+xz2+y2z-yz2

thought fully split the expression at hand into groups,each group having two terms:

group1: y2z-yz2

group 2: x2y-x2z

group 3: xz2-yz2

pull out from each groups separately:

group 1:(x-z)•(-y2)

group 2:(y-z)•(x2)

group 3:(x-y)•(z2)

looking for common sub-expressions:

group 1:(x-z)•(-y2)

group 2:(y-z)•(x2)

group 3:( x-y)•(z2)

bad news !! factoring by pulling out fails:

The groups have no common factor and cannot be added up to form a multiplication.

final result:

x2y-x2z-xy2+xz2+y2z-yz2

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A rectangular prism and a triangular prism each have a volume of 210 cubic meters. find possible dimensions for each prism.
Evgesh-ka [11]
An interesting question! Let's take a look at the rectangular prism first.

[Rectangular Prism]
We know that the formula for the volume of a rectangular prism is:
volume = length * width * height

or more simply
V = L*W*H

All we know is that the volume is 210 cubic meters. We can choose whatever we want for the dimensions to force it to work! We're free to do what we want!
210 = L*W*H

I like 10, that's a nice number. Let's make L = 10.
210 = 10*W*H

Hmm... but now I need W*H to be 21 (think about it, make sure you get why I say that). Well, how about W = 7 and H = 3? That should work.
210 = 10*7*3

It checks! Possible dimensions for the rectangular prism are L = 10 meters, W = 7 meters, and H = 3 meters. There are many other choices of course, but this is a possible choice.

[Triangular Prism]
Same idea, different formula. For a triangular prism, the volume is
V = 1/2 * L*W*H

But the volume is still 210 cubic meters, so we just have
210 = 1/2 * L*W*H

So, one of our dimensions is going to be cut in half. Why don't we just double L to make up for it? 
210 = 1/2*(20)*W*H

And we can leave W and H the same
210 = 1/2*20*7*3

Check that it works! A possible choice is L = 20 meters, W = 7 meters and H = 3 meters.

We're done!

5 0
3 years ago
Write the value of the digit 6 in 0.645
Bingel [31]

Answer:

0.6

Step-by-step explanation:

Using place value, the first digit after a decimal point is the tenths unit, so it is written as 0.6

6 0
3 years ago
What's (5xty)-(4x-9)??? And what's 33.7y+8.4-2.04y??? And 4.2x+8.1x+1.8x-2.1x??? And x+2(x-y)???
Katyanochek1 [597]
You're first problem is unclear as I am not sure if that t was suppose to be there or not. 

but as for the second one (33.7y+8.4-2.04y)  we would first have to combine like terms so you'd subtract 2.04y from 33.7y , which would give you ; 33.66y so now your answer would be " 33.66y + 8.4 ", 
there's nothing more you can do because they're seperate terms c: . 

Your third problem ( 4.2x+8.1x+1.8x-2.1x ) is also combining like terms. Add the first 3 terms and that'll give you 14.1x , now subtract 2.1x and that'll give you "12x" as your final answer ~

For your fourth problem x+2 ( x-y ) , you would have to do something called factoring , basically all you gotta do is distribute term by term. So, x times x would give you x^2 , x times -y would give you -xy , 2 times x is 2x , and 2 times -y is -2y , so that'll look somethng like x^2 - xy + 2x - 2x . Now the 2x's cancel out
and you are left with "x^2 - xy"  as your final answer ~
4 0
3 years ago
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