Question

Work Bench You are drilling holes into your work bench

that will hold caddies for some of your gardening equipment.
The area of the entire work bench before the holes are drilled
is given by 24x2 + 5x. The area of one hole is given by
3x2 + x + 3. Write an expression for the area in factored form
of the work bench that is left after the holes are drilled.

Answer 1

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

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.