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Squaring Binomials
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Part of the solving process for these problems involves squaring a binomial. While students can certainly multiply it out, it's hoped that they will be
able to correctly apply the formula for a binomial squared. Other steps are required as well.
- Related Resources
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Interactive resources from our Math Tools project:
Algebra: Polynomials
The closest match in our Ask Dr. Math archives:
High School: Polynomials
NCTM Standards:
Algebra Standard for Grades 9-12
Access to these problems requires a Membership.
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Alvin's Theorem
- Terry Trotter
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Algebra, difficulty level 2. Alvin notices that the difference between any two consecutive square
numbers can also be expressed as the sum of consecutive integers.
Can you use algebra to show that this pattern is always true?
... more>>
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An Expanding Circle
- Steve Risberg
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Algebra, difficulty level 2. When the radius of a circle increases by 6 inches, the area increases
by 125%. Find the original radius.
... more>>
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Three Consecutive Integers
- Annie Fetter
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Algebra, difficulty level 1. Use a variable to explain an interesting relationship that can be found between three consecutive integers.
... more>>
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