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Write the expression as a polynomial, using the corresponding formula for special product: (−a+b)(b–a)

User Kc Bickey
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1 Answer

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Answer:

b² -2ab +a²

Explanation:

The first factor can be rearranged to put the minus sign in the middle. Then you have

(b -a)(b -a) = (b -a)² = b² -2ab +a²

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If you like, you can also write this as ...

a² -2ab + b² . . . . . . terms in lexicographical order

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The "special product" of interest here is the square of a binomial:

(p +q)² = p² +2pq +q²

You have p=b, q=-a, so the result is as shown above.

User Noosh
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