Simplify: (k + 4)(2k + 5)=

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Simplify: (k + 4)(2k + 5)=

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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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2k2-22k+20 2k2+9k+20 2k2+13k+20 None of the above
FOIL First: k*2k=2k^2 Outer: 5*k Inner: 4*2k Last:4*5 These are all added.
huh?

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Have you ever heard of FOIL?
So, first off, since you have two positive numbers, it can't be 2k^2 - 22k + 20. (k + 4)(2k + 5) Going off of what rickjbr explained earlier: - First (meaning the first two terms in each group): k x 2k = 2k^2 - Outer (meaning the first term in the first group and the last term of the second group): k x 5 = 5k - Inner (meaning the second term of the first group and the first term of the second group): 4 x 2k = 8k - Last (meaning the last two terms of each group): 4 x 5 = 20 In total: 2k^2 + 5k + 8k +20 Now just add together the like terms! This website does a good job of explaining the FOIL method way better than I ever could: http://www.algebrahelp.com/lessons/simplifying/foilmethod/pg2.htm I hope this helps! :D

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