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Algebra 20 Online
OpenStudy (anonymous):

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

OpenStudy (anonymous):

combine like terms

OpenStudy (anonymous):

ok now lets separte them

OpenStudy (anonymous):

I tried, but I am confused

OpenStudy (anonymous):

3x 2y 2xy 2 x 2y

OpenStudy (anonymous):

right ?

OpenStudy (anonymous):

No, \[3x ^{2}y-2xy ^{2}+x ^{2}y\]

OpenStudy (anonymous):

ok 3x^2 y 2xy^2 x^2 y

OpenStudy (anonymous):

now 3x^2 is the same as x^2 right

OpenStudy (anonymous):

yes...

OpenStudy (anonymous):

now add them

OpenStudy (anonymous):

I tried but I am confused

OpenStudy (anonymous):

ok ok you have to add them is not as hard as it seems x^2 is like 1x^2 but without the 1 in front of it

OpenStudy (anonymous):

now 3+1 is 4 so it would be 4x^2

OpenStudy (anonymous):

hmm, so the whole thing is 4x^2 y-2xy^2?

OpenStudy (anonymous):

we're not done yet

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

we did one part now we need to find the other terms that are alot and combine them

OpenStudy (anonymous):

I am so confused :c

OpenStudy (anonymous):

its ok will help you through it

OpenStudy (anonymous):

you see how we did one part the x's right

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

ok now we have y-2xy^2+y

OpenStudy (anonymous):

which two looks the same

OpenStudy (anonymous):

y is basically y^1 right?

OpenStudy (anonymous):

crap dude I am taking an online assessment and have 3 minutes left, can you tell me the answer and then explain it?

OpenStudy (anonymous):

your right on the y part but y doesnt have an exponent so its really 1y

OpenStudy (anonymous):

ok its

OpenStudy (anonymous):

4x^2 2y-2xy^2

OpenStudy (anonymous):

Yes! thank you it was right. Can you please keep explaining it?

OpenStudy (anonymous):

sure

OpenStudy (anonymous):

so you had two y's and since the y doesnt have an exponent then it would be 1y

OpenStudy (anonymous):

hmm ok I think I understand, I thought y^1 is the same thing though

OpenStudy (anonymous):

its not the same because y never had an exponent if it did then it wouldve been a didnt answer

OpenStudy (anonymous):

and thankz for the madel

OpenStudy (anonymous):

medal**

OpenStudy (anonymous):

Np, thank you for your time. I also followed you :)

OpenStudy (anonymous):

ohh thank you and if you have any other questions ill see if i can help

OpenStudy (anonymous):

:)

OpenStudy (anonymous):

I have one more, can you help me?

OpenStudy (anonymous):

sure

OpenStudy (anonymous):

Ok thank you. \[x ^{2}y-3xy ^{2}-6x ^{2}y\]

OpenStudy (anonymous):

ok its the same thing do you see any terms that would be the same

OpenStudy (anonymous):

x^2 and x^2

OpenStudy (anonymous):

correct

OpenStudy (anonymous):

now what would you get when you'll add them

OpenStudy (anonymous):

but shouldnt you be subtracting them?

OpenStudy (anonymous):

yes yes im sorry

OpenStudy (anonymous):

Sorry again, but I am on a time limit. Can you give me the answer and then explain it?

OpenStudy (anonymous):

its cool

OpenStudy (anonymous):

5x^2 2y-3xy^2

OpenStudy (anonymous):

oh no it was wrong :c oh well.

OpenStudy (anonymous):

I am still thankful for your time and for helping me on the first problem. Have a good day/night

OpenStudy (anonymous):

you too

OpenStudy (anonymous):

do you need help or...

OpenStudy (mathmale):

Lack of instructions may have made this problem more complicated than it really is: 3x^2y-2xy^2+x^2y Since I note that we have both x and y in all three terms, I'm going to assume that the assignment here was to FACTOR 3x^2y-2xy^2+x^2y completely. Please verify this!

OpenStudy (mathmale):

Looking at 3x^2y-2xy^2+x^2y again, I see that all terms have the factor x, but not all terms have the factor x^2. Thus, factor out x: x(3xy-2y^2+xy)/ Note that all terms here have the factor y. Factor out y in the same manner: xy( ??? )

OpenStudy (anonymous):

3x2y-2xy2=x2y Geometric figure: Straight Line Slope = 1 x-intercept = 0/1 = 0.00000 y-intercept = 0/-1 = -0.00000 y = 0 x = 0 Rearrange : Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : 3*x^2*y-2*x*y^2-(x^2*y)=0 Step by step solution : Step 1 : Simplify 3x2y-2xy2 - x2y Pulling out like terms : 1.1 Pull out like factors : 2x2y - 2xy2 = 2xy • (x - y) Equation at the end of step 1 : 2xy • (x - y) = 0 Step 2 : Solve 2xy•(x-y) = 0 Theory - Roots of a product : 2.1 A product of several terms equals zero. When a product of two or more terms equals zero, then at least one of the terms must be zero. We shall now solve each term = 0 separately In other words, we are going to solve as many equations as there are terms in the product Any solution of term = 0 solves product = 0 as well. Solving a Single Variable Equation : 2.2 Solve 2xy = 0 Setting any of the variables to zero solves the equation: x = 0 y = 0 Equation of a Straight Line 2.3 Solve x-y = 0 Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK). "y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis. In this formula : y tells us how far up the line goes x tells us how far along m is the Slope or Gradient i.e. how steep the line is b is the Y-intercept i.e. where the line crosses the Y axis The X and Y intercepts and the Slope are called the line properties. We shall now graph the line x-y = 0 and calculate its properties Graph of a Straight Line : Calculate the Y-Intercept : Notice that when x = 0 the value of y is 0/-1 so this line "cuts" the y axis at y=-0.00000 y-intercept = 0/-1 = -0.00000 Calculate the X-Intercept : When y = 0 the value of x is 0/1 Our line therefore "cuts" the x axis at x= 0.00000 x-intercept = 0/1 = 0.00000 Calculate the Slope : Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 0.000 and for x=2.000, the value of y is 2.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 2.000 - 0.000 = 2.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN) Slope = 1 Geometric figure: Straight Line Slope = 1 x-intercept = 0/1 = 0.00000 y-intercept = 0/-1 = -0.00000 y = 0 x = 0

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