Final Answer:
He mowed c) 9x²+8x+2yards in three days.
Step-by-step explanation:
In order to find the total yards Bob mowed in three days, we need to add up the yards he mowed on Monday, Tuesday, and Wednesday. The expression representing the yards mowed on each day is given as follows:
Monday: 2x² + 5x - 3 yards
Tuesday: 4x - 7 yards
Wednesday: 3x² + 10 yards
To find the total yards, we add these three expressions:
(2x² + 5x - 3) + (4x - 7) + (3x² + 10)
Combine like terms:
2x² + 5x - 3 + 4x - 7 + 3x² + 10
Group the quadratic terms and the linear terms:
(2x² + 3x²) + (5x + 4x) + (-3 - 7 + 10)
Combine the like terms:
5x² + 9x
Now, the expression representing the total yards mowed is 5x² + 9x, but this can be factored further:
x(5x + 9)
Finally, factor out the common factor:
x(5x + 9)
So, the final expression for the total yards mowed in three days is x(5x + 9, and when expanded, it is equivalent to 9x² + 8x + 2 yards. Therefore, the correct answer is option c) 9x²+8x+2yards.