# Distribution Property using variables and exponents

by Edward
(Louisiana)

(a^2+b^3)(a^4+b^3)

Can anyone help me with this problem, I'm kind of having a little trouble with it?

### Comments for Distribution Property using variables and exponents

 Mar 25, 2010 Distributive Property by: Staff Distribution Property using variables and exponents The problem (a^2+b^3)(a^4+b^3) Can anyone help me with this problem, I'm kind of having a little trouble with it? The solution The easiest way to multiply these two expressions together is the vertical format: Line up one expression under the other, just as you would when multiplying two numbers together: For example, if you are multiplying 236 by 409, you would write: 236 x 409 -------- For your problem, multiplying (a^2 + b^3) by (a^4 + b^3), you would write: a^2 + b^3 x a^4 + b^3 ------------------- now, multiply: (a^4) (a^2) = a^6 (a^4) (b^3) = a^4b^3 (a^2) (b^3) = a^2b^3 (b^3) (b^3) = b^6 a^2 + b^3 x a^4 + b^3 ------------------- a^6 + a^4b^3 a^2b^3 + b^6 ------------------------------------------ a^6 + a^4b^3 + a^2b^3 + b^6 The final answer is: a^6 + a^4b^3 + a^2b^3 + b^6 (none of the terms can be combined) This technique is also covered on the following web page: http://www.solving-math-problems.com/distributive-property.html Staff www.solving-math-problems.com

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