mustish1
asked on
Solving an equation
I don't remember how to solve these kind of problems.
6 x^3 y^4 a^2
3 x^2 y^3 a^6
Can you please show me how to I add, subtract, multiply and divided these two equations? I am unsure how to handle exponents are different.
6 x^3 y^4 a^2
3 x^2 y^3 a^6
Can you please show me how to I add, subtract, multiply and divided these two equations? I am unsure how to handle exponents are different.
SOLUTION
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SOLUTION
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ASKER CERTIFIED SOLUTION
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To add two expressions, keep in mind factoring:
For example:
x^3 + x^2 = x*x*x + x*x = x*(x*x) + (x*x) = x * x^2 + x^2 = x^2 * ( x + 1 )
For example:
x^3 + x^2 = x*x*x + x*x = x*(x*x) + (x*x) = x * x^2 + x^2 = x^2 * ( x + 1 )
Subtraction is similar to addition:
For example:
x^3 - x^2 = x*x*x - x*x = x*(x*x) - (x*x) = x * x^2 - x^2 = x^2 * ( x - 1 )
For example:
x^3 - x^2 = x*x*x - x*x = x*(x*x) - (x*x) = x * x^2 - x^2 = x^2 * ( x - 1 )
Division is similar to multiplication:
For example:
x^3 x*x*x x x
----- = ----------- = ------- = x, since ----- = 1 (i.e., the x's cancel)
x^2 x*x 1 x
For example:
x^3 x*x*x x x
----- = ----------- = ------- = x, since ----- = 1 (i.e., the x's cancel)
x^2 x*x 1 x
ASKER
Thanks.
6a^2 x^3 y^4
______________ = 2a^-4 x y (subtract exponents)
3a^6 x^2 y^3