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43 votes
43 votes
Factorize -b^2+48c^2+8bc

User Jesper Wilfing
by
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1 Answer

20 votes
20 votes

Answer:

(4c + b)(12c - b)

Explanation:

- b² + 48c² + 8bc ← rearrange

48c² + 8bc - b² ( split the middle term )

= 48c² + 12bc - 4bc - b² ( factor first/second and third/fourth terms )

= 12c(4c + b) - b(4c + b) ← factor out (4c + b) from each term

= (4c + b)(12c - b)

User Tovmeod
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