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According to the Binomial Squares Pattern, what does (a+b)^2 expand to?
Aa^2+ab+b^2
Ba^2+2ab+b^2
Ca^2+2ab-b^2
Da^2-2ab+b^2
Answer & Solution
Correct answer: B. a^2+2ab+b^2
1. The Binomial Squares Pattern states that squaring a sum gives the square of the first term, plus twice the product of the two terms, plus the square of the last term.
2. For (a + b) squared, that pattern is a squared + 2ab + b squared.
3. Dropping the middle term's coefficient of 2, or flipping either sign, does not match the pattern for a sum squared.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 7 "Factoring", section 7.4 Factor Special Products_
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