The complete factorized expression is (3a - b²)(1 - 2x).
How to factorize the given expression.
Factorization is a mathematical process where an expression is broken down into its individual factors.
To factorize or decompose 3a - b² + 2b²x - 6ax, group common terms:
3a - b² + 2b²x - 6ax = (3a - 6ax) + (-b² + 2b²x)
Factor out common terms for each group:
3a - 6ax = 3a(1 - 2x)
-b² + 2b²x = -b²(1 - 2x)
Combining both factorizations, the fully factorized expression is:
3a - b² + 2b²x - 6ax = 3a(1 - 2x) - b²(1 - 2x)
You can further factorize by simplifying the common factor (1 - 2x):
3a(1 - 2x) - b²(1 - 2x) = (3a - b²)(1 - 2x)
So, the complete factorized expression is (3a - b²)(1 - 2x).
Complete question
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