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3 years ago

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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In a survey of 90 students 20 choose rock.40 chose hip hop 30 chose country. In a school of 360 students how many would be expec

lina2011 [118]

Answer:

The students would be expected to choose rock be 80 or students choose hip hop be 160 or choose to country be 120.

Step-by-step explanation:

Given:

In a survey of 90 students 20 choose rock, 40 choose hip hop and 30 choose country.

Now, to find the students expected to choose hip hop or rock or country in a school of 360 students.

Let the number of students expected to choose rock be $x.$

Let the number of students expected to choose hip hop be $y.$

Let the number of students expected to choose country be $z.$

Total number of students = 360.

Now, to get the number of students choosing hip hop or rock or country by using cross multiplication method:

In a survey of 90 students 20 choose rock.

So, 90 is equivalent to 20.

Thus, 360 is equivalent to $x$ .

$\frac{90}{20} =\frac{360}{x} \\\\By\ cross\ multiplying\ we\ get:\\\\90x=7200\\\\Dividing\ both\ sides\ by\ 90\ we\ get:\\\\x=80.$

Thus, the number of students expected to choose rock is 80.

Now,

In a survey of 90 students 40 choose hip hop.

So, 90 is equivalent to 40.

Thus, 360 is equivalent to $y.$

$\frac{90}{40} =\frac{360}{y} \\\\By\ cross\ multiplying\ we\ get:\\\\90y=14400\\\\Dividing\ both\ sides\ by\ 90\ we\ get:\\\\y=160.$

Therefore, 160 students expected to choose hip hop.

And,

In a survey of 90 students 30 choose country.

So, 90 is equivalent to 30.

Thus, 360 is equivalent to $y.$

$\frac{90}{30} =\frac{360}{z} \\\\By\ cross\ multiplying\ we\ get:\\\\90x=10800\\\\Dividing\ both\ sides\ by\ 90\ we\ get:\\\\x=120.$

Hence, 120 students expected to choose country.

Therefore, the students would be expected to choose rock be 80 or students choose hip hop be 160 or choose to country be 120.

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4 years ago

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Arlecino [84]

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3 years ago

Find -23 7/8+10 3/4.

elena55 [62]

Answer:

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Step-by-step explanation:

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3 years ago

Using the tables above find the mean, median, mode, and range of the prices of Felix's and Tyler's books Felix Price ($) Number

DIA [1.3K]

For Felix's books, Mean = 11.30769... , Median = 9, Mode = none and Range = 26

For Tyler's books, Mean = 56.56521... , Median = 68, Mode = none and Range = 92

Explanation:

Felix Price

3 4 5 6 7 8 9 11 13 15 18 19 29

Mean is just the average of all numbers. As there is total 13 numbers, so for finding the average, we will divide the Sum of all numbers by 13.

So, Mean = $\frac{3+4+5+6+7+8+9+11+13+15+18+19+29}{13} =\frac{147}{13} =11.30769...$

Median is the middle value in the data set. For finding the median, first we need to rearrange the data set in numerical order, but here the data set is already in numerical order. As there is total 13 numbers, so the middle value will be the (13+1)÷2 = 7th number

3 4 5 6 7 8 9 11 13 15 18 19 29

So, the median is 9

The mode is the number that is repeated more often than any other in the data set, but here all the numbers in this set appear only once.

So, there is no mode.

Range is the difference between the largest and smallest values in the set. The largest is 29 and the smallest is 3.

So, the range = 29 - 3 = 26

Tyler Price

7 8 9 13 16 18 32 36 38 64 66 68 69 75 76 78 79 82 86 89 96 97 99

There are total 23 numbers.

So, the Mean = $\\\frac{7+8+9+13+16+18+32+36+38+64+66+68+69+75+76+78+79+82+86+89+96+97+99}{23} \\ \\ =\frac{1301}{23}\\ \\ =56.56521...$

The middle value will be the (23 + 1)÷ 2 = 12th number.

7 8 9 13 16 18 32 36 38 64 66 68 69 75 76 78 79 82 86 89 96 97 99

So, the median = 68

Here also all the numbers in this data set appear only once. So, there is no mode.

Largest value is 99 and smallest value is 7.

So, the range = 99 - 7 = 92

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4 years ago

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Korvikt [17]

Answer:

Step-by-step explanation:

Any value of

makes the equation true.

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3 years ago

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