Question

Work Bench You are drilling holes into your work bench

Answer 1

Answer:

$x(24x+5)-n(3x^2+x+3)$  where n is the number of holes drilled in the work bench

Step-by-step explanation:

Given: The area of the entire work bench before the holes are drilled

is given by $24x^2+5x$.

The area of one hole is given by $3x^2+x+3$

Solution:

Let n be the number of holes drilled in the work bench

Area of the entire work bench before the holes are drilled  - ( n × Area of one hole ) = area of the work bench that is left after the holes are drilled.

Therefore,

$(24x^2+5x)-n(3x^2+x+3)=x(24x+5)-n(3x^2+x+3)$ = area of the work bench that is left after the holes are drilled.