The volume of a small packing box is "3x2 + 3x" in3 smaller than a large packing box with a volume of "5x2 − 2x + 10" in3. Find a single expression that represents the size of a small packing box.

The volume of the small packing box is (2x^2 -5x + 10) inches^3

Step-by-step explanation:

Here, we want to find an expression that represents the size of a small packing box.

We are told that the small packing box is a certain volume smaller than a large packing box and we are given the volume of the large packing box.

Thus, the number of inches with which it is smaller will be the volume of the large box minus the volume of the small box.

So to get the volume of the small

box, we will need to subtract the amount by which it is smaller from the volume of the large box.

Mathematically, that would be;

(5x^2 -2x + 10) - (3x^2 + 3x)

= 5x^2 -2x + 10 - 3x^2 - 3x

= 5x^2 -3x^2 -2x -3x + 10

= 2x^2 -5x + 10

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.