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squaring negitive binomials??

Im alright with squaring binomials but i ran across this problem and im lost.... -(3y-8)^2

I did this (-3y--8)^2

then (-3y +8)^2

so then (-3y)^2+(2*-3y*8)+8^2

So then 9^2 +(-48y)+ 64 for my answer

My book says the answer is -9y^2+48y-64

Um where did i go wrong??? Im totally lost on how to get the answer they said to get.... any help plzzzz!!! :) THanks bunches

2 Answers

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  • 1 decade ago
    Favorite Answer

    Yup, that's wrong. You can't move the negative sign into the brackets. You need to expand the brackets, and THEN multiply the whole thing by -1.

  • 1 decade ago

    (-3y-(-8))^2 does not equal -(3y-8)^2.

    Remember order of operations?

    PEMDAS?

    Parenthesis, then EXPONENTS, then MULTIPLICATION.

    Expand the binomial, then multiply by negative 1.

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