Squaring a Binomial Help
Squaring a Binomial
Another special product results from squaring a binomial. This can be done by using the two methods shown previously; however, a short-cut rule can be used. It is:
(a + b) 2 = a 2 + 2ab + b 2
(a - b) 2 = a 2 - 2ab + b 2
In words, whenever you square a binomial, square the first term and then multiply the product of the first and second terms by 2 and square the last term .
Square (x + 8).
Square (2x - 3).
Square (3x + 1).
Squaring a Binomial Practice Problems
1. (x + 1) 2
2. (x - 6) 2
3. (2x + 5) 2
4. (4x + 7) 2
5. (8x - 3) 2
1. x 2 + 2x + 1
2. x 2 - 12x + 36
3. 4x 2 + 20x + 25
4. 16x 2 + 56x +49
5. 64x 2 - 48x +9
Practice problems for these concepts can be found at: Operations With Monomials And Polynomials Practice Test.
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