- #1
ehrenfest
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Homework Statement
Is there like a formula with a name easy to remember of which the following is a specific instance:
x^200 -y^200 = (x-y)(x^199+x^198y+... + y^198*x + y^199)
?
rocophysics said:which calculator do you have? i been thinking about upgrading to a TI-89 ...
ehrenfest said:Homework Statement
Is there like a formula with a name easy to remember of which the following is a specific instance:
x^200 -y^200 = (x-y)(x^199+x^198y+... + y^198*x + y^199)
?
HallsofIvy said:Do you mean
[tex]x^n- y^n= (x-y)(x^{n-1}+ x^(n-2)y+ /cdot/cdot/cdot+ xy^{n-2}+ y^{n-1}[/tex]?
I've never worried about it having a name!
The factorization formula for x^200 and y^200 is (xy)^200. This means that x^200 and y^200 can be written as the product of (xy) multiplied by itself 200 times.
To use the factorization formula for x^200 and y^200, you simply need to replace x^200 and y^200 with the formula (xy)^200 in your equations. This will help simplify and solve your homework problems.
Mastering the factorization formula for x^200 and y^200 can make solving equations and problems involving these variables much easier and faster. It can also help in understanding more complex mathematical concepts in the future.
Yes, the factorization formula for x^200 and y^200 can be applied to other exponents as well. For example, (xy)^100 would be the factorization formula for x^100 and y^100.
One helpful tip for remembering the factorization formula for x^200 and y^200 is to break it down into smaller parts. For example, you can think of (xy)^200 as (x^2)^100 multiplied by (y^2)^100. Additionally, practicing and using the formula regularly can also help with memorization.