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Question
Divide: 4a2 + 12ab + 9b2 − 25c2 by 2a + 3b + 5c
Solution
`2"a"+3"b"+5"c")overline(4"a"^2+12"ab"+9"b"^2-25"c"^2)(2"a"+3"b"-5"c"`
4a2 + 6ab + 10ca
− − −
6ab + 9b2 − 25c2 − 10ca
6ab + 9b2 +15bc
− − −
−10ca −25c2 −15bc
−10ca −25c2 −15bc
+ + +
×
∴ 2a + 3b − 5c
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