factor the following expression

Question

Factor 24v^9w^9+ 28v^5w^7y^8

Answer 1

24v⁹w⁹+ 28v⁵w⁷y⁸ = 4v⁵w⁷(6v⁴w² + 7y⁸)

Answer 2

24v⁹w⁹ + 28v⁵w⁷y⁸

 

Factor each term separately, looking for common terms, which are shown in orange below.  Factor the orange terms out.  The black terms are what's left.

 

24v9w9 = 4*6*v⁵*v⁴*w⁷*w²

28v5w7y8 = 4*7*v⁵*w⁷*y⁸

 

= 4v⁵w⁷(6v⁴w² + 7y⁸)

Answer 3

• 24v⁹w⁹+28v⁵w⁷y⁸
• You only have two terms, so you are just factoring out what is common to both terms
• For the 24 and 28, the most you can factor out is 4
• For the v terms, you can factor out v⁵
• For the w terms, you can factor out w⁷
• And since the first term doesn't have y, you can't factor any y's.
• You will have 4v⁵w⁷ (leftovers from the 24 piece + leftovers from the 28 piece)
• 4v⁵w⁷(6v⁴w²+7y⁸)