Answer:
3(5x²-3x+1)
Step-by-step explanation:
eliminate redundant parentheses
(10x²-5x+6)+(5x²-4x-3)
10x²-5x+6+5x²-4x-3
subtract the numbers
10x²-5x+6+5x²-4x-3
10x²-5x+3+5x²-4x
combine like terms
10x²-5x+3+5x²-4x
15x²-5x+3-4x
combine like terms
15x²-5x+3-4x
15x²-9x+3
common factor
factor by grouping
(10x²-5x+6)+(5x²-4x-3)
3(5x²-3x+1)