(4x-3)-(2x-5)(3x-1).jpeg "(2x-5)(4x-3)-(2x-5)(3x-1)")
Factoring and Simplifying the Expression: (2x-5)(4x-3)-(2x-5)(3x-1)
This expression involves factoring and simplifying. Let's break it down step by step:
1. Identifying the Common Factor
Notice that both terms in the expression share the factor (2x-5). We can factor this out to simplify the expression.
2. Factoring out the Common Factor
(2x-5)(4x-3) - (2x-5)(3x-1) = (2x-5)[(4x-3) - (3x-1)]
3. Simplifying the Expression Inside the Brackets
(2x-5)[(4x-3) - (3x-1)] = (2x-5)[4x - 3 - 3x + 1]
(2x-5)[x - 2]
4. Final Result
The simplified expression is (2x-5)(x-2).
Note: This expression can be further expanded if necessary by multiplying the two factors.