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Can you help solve Algebra problem?


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Solve.

 

(2y-3)* (2y-3)*

Sorry I don't know how to do an exponent on the keyboard so * means squared.

 

We were able to get here but no further:

 

(4y*-12y+9)(4y*-12y+9)

 

I actually know the answer is 16y*(4th power)-96y*(3rd power)+216y*(squared)-216y+81. I just don't know WHY! What rule am I following to solve this?

 

Thanks for any insight.

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Duh....I DO understand. I misunderstood my daughter's answer. She tried to perform FOIL on this problem but she can't b/c these aren't binomials they are trinomials so it works like the distributive property. Each term in the first trinomial is multiplied by each term in the 2nd trinomial then combine like terms. :blushing:

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And that's why I despise FOIL. It only works for binomials. It's also just a special case of the distributive property which works for all polynomial multiplication.

 

FYI - Use the carat (shift-6) to represent an exponent: (2y-3)^2 *(2y-3)^2 would be your original problem

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