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Remmber the word FOIL.
F = FIRST TERM in each parentheses,
O = OUTER TERMS. (The two terms farthest apart)
I = INNER TERMS. (The two terms in the middle)
L = LAST TERM in each parentheses
FIRSTS:
(2r-5)(2r-5)
2r times 2r gives 4rē
OUTERS
(2r-5)(2r-5)
2r times -5 gives -10r
INNERS
(2r-5)(2r-5)
-5 times 2r gives -10r
LASTS
(2r-5)(2r-5)
-5 times -5 gives +25
Write them all together in a row:
4rē-10r-10r+25
The two middle terms are LIKE TERMS and so they will combine
since -10r plus -10r is -20r.
Answer: 4rē-20r+25
Edwin