Find the product. Simplify your answer.(2s–1)(2s–2)
Question
Find the product. Simplify your answer.(2s–1)(2s–2)
Solution
To find the product of the two binomials (2s–1)(2s–2), you can use the FOIL method, which stands for First, Outer, Inner, Last. This refers to the terms in each binomial that you multiply together.
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First: Multiply the first terms in each binomial: (2s * 2s) = 4s^2
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Outer: Multiply the outer terms in the product: (2s * -2) = -4s
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Inner: Multiply the inner terms in the product: (-1 * 2s) = -2s
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Last: Multiply the last terms in each binomial: (-1 * -2) = 2
Now, add these results together:
4s^2 - 4s - 2s + 2
Combine like terms:
4s^2 - 6s + 2
So, the product of (2s–1)(2s–2) is 4s^2 - 6s + 2.
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