Inopeki
TuringTest, repetition!
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TuringTest
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repetition?
Inopeki
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You know, practising something you have learned
sunsetlove
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?
Inopeki
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Oh maybe thats not a word xd
imranmeah91
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revision
TuringTest
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factor\[x^2y^4-x^4y^2\]
Inopeki
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Ohhh, im thinking of the swedish word..
TuringTest
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repetition is a word, just not the right one
GT
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Again??
Inopeki
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GCF of x^2 and x^4 is x^2
GCF of y^2 and y^4 is y^2
x^2*y^2(x^2*y^4/x^2*y^2)-x^2*y^2(x^4*y^2/x^2*y^2)?
TuringTest
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yes that should work :)
and yes, /again/ GT lol
continue Inopeki.
Inopeki
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x^2*y^2(x^2*y^4/x^2*y^2)-x^2*y^2(x^4*y^2/x^2*y^2)=x^2*y^2(y^2-x^2)?
Damn thats a long line of numbers!
TuringTest
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lol yeah, but you got the right answer :D
but I think there's one more thing you can do, look closely.
Inopeki
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x^2*y^2(x^2*y^4/x^2*y^2)-x^2*y^2(x^4*y^2/x^2*y^2)=-x^4*y^4?
Inopeki
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x^2*y^2(x^2*y^4/x^2*y^2)-x^2*y^2(x^4*y^2/x^2*y^2)=(-x^4)*y^4?
TuringTest
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who who you got much closer with
x^2*y^2(y^2-x^2)
but is there something familiar here?
Inopeki
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x^2*y^2(y-x)(y+x)?
TuringTest
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yes :)
good job, tricky one!
Inopeki
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Thanks :DDD
imranmeah91
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one step closer to quantum mechanics
Inopeki
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:D baby steps are still steps, right?
TuringTest
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true that :)
hey you're going plenty fast you've got time...
hmmm
do you know how to find the slope of a line give two points?
Inopeki
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Yes, if i remember right.
TuringTest
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ok
(1,4) (6,12)
what is the slope between the points?
Inopeki
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Well
12+4
----- Doing alright?
6+1
Inopeki
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- actually
TuringTest
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gotta subtract, yes
the reason for this is important to understand you should think about it if you can
Inopeki
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No wait
Inopeki
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12-4
----- =8/5
6-1
TuringTest
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right
rise over run
remember that rise and run are about changes, and to find the change in x or y we must subtract, so it makes sense.
what about the equation of the line? any ideas?
Inopeki
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\[\Delta y \div \Delta x\]
TuringTest
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perfect, even better way to think of it :)
now the equation of the line that passes through
(1,4) (6,12)
do you know how to find that?
Inopeki
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|dw:1326067972678:dw|
Inopeki
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I need to get x first then substitute to get y?
TuringTest
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no, you use the 'Point-Slope' form of the line:\[y-y_1=m(x-x_1)\]where m is the slope (which you have already found) and (x_1,y_1) are the coordinates of one of your points (it doesn't matter which) can you get the equation of the line now?
Inopeki
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Wait,
12-4=8/5(6-1)?
TuringTest
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no, just use one of the points, the other x and y without subscripts (the little number 1) are just left as x and y...
Inopeki
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Oh, y-12=8/5(x-6)?
TuringTest
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right, that is the equation in point-slope form
there is another form called slope-intercept form
that looks like\[y=mx+b\]where b is the y-intercept.
Our equation will be in this form if we solve for y, so do that.
Inopeki
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y=8/5(x-6)-12?
TuringTest
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it would be +12 right?
but distribute 8/5 to the parentheses as well to get slope-intercept form.
Inopeki
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y=12+(8/5)*(x-6)?
TuringTest
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yes now distribute the 8/5...
TuringTest
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in order to get rid of the parentheses...
Inopeki
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y=12+(8/5)x-6?
TuringTest
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you forgot to distribute to the 6...
Inopeki
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y=12+(8/5)x-(6)?
TuringTest
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(8/5)(x-6)
distribute the 8/5 to each term, that is how distribution always works.
TuringTest
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a(b+c)=ab+ac
Inopeki
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But i did that before!
TuringTest
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and what did you get?
Inopeki
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Aw man, i need some sleep. school starts tomorrow and its 1:30am XD Im screwed!
TuringTest
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lol
Thought so...
goodnight, good work :)
Inopeki
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Goognight! Thanks again for teaching me all this :)