Answer:
8x² + 8
Step-by-step explanation:
Given
(x² + 3)² - (x² - 1)² ← expand both factors using FOIL
=
+ 6x² + 9 - (
- 2x² + 1) ← distribute by - 1
=
+ 6x² + 9 -
+ 2x² - 1 ← collect like terms
= 8x² + 8
The one way to determine factors of x³ + 11x² – 3x – 33 will be
.
<h3>What is a factorization?</h3>
It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The steps involved in the factorization are;
1. For each pair of parentheses, we create a common factor.
2. We use x2 as a common factor for the first parenthesis.
3. We use common factor 3 for the second parenthesis.

We will find the final solution as
.
Hence the one way to determine factors of x³ + 11x² – 3x – 33 will be
.
To learn more about the factorization refer to the link;
brainly.com/question/24182713
Answer:
<em>The volume inside the giant sugar cube is 27 cubic feet.</em>
Step-by-step explanation:
It took 54 feet² of material to build the giant sugar cube. That means, the total surface area of the cube is 54 feet²
<u>Formula for surface area of a cube</u> is:
, where
is the length of each edge of the cube.
So, we will get.........

Now, <u>the volume of the cube will be</u>:
feet³
Thus, the volume inside the giant sugar cube is 27 cubic feet.
Answer:
15 weeks
The amount of money is 270
Step-by-step explanation:
You: 60 +14x
Sister: 120+10x
Set them equal to each other
60+14x = 120+10x
Subtract 10x from each side
60+4x= 120
Subtract 60 from each side
4x= 60
Divide by 4
4x/4 = 60/4
x = 15
15 weeks
The amount of money is 120+10*15 = 120+150 = 270