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Question
Factorise the following:
m2 + 2mn – 24n2
Sum
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Solution
Product = −24, sum = 2
Split the middle term as 6mn and −4mn
m2 + 2mn – 24m2 = m2 + 6mn – 4mn – 24n2
= m(m + 6n) – 4n(m + 6n)
= (m + 6n)(m – 4n)
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Chapter 3: Algebra - Exercise 3.6 [Page 107]
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