Answer:
- (x² + 2y² + 2xy)(x² + 2y² - 2xy)
Step-by-step explanation:
<h3>Given binomial:</h3>
x⁴ + 4y⁴
In order to factorize it, follow the steps:
<h3>Complete the square:</h3>
- x⁴ + 4y⁴ =
- (x²)² + 2*(x²)*(2y²) + (2y²)² - 2*(x²)*(2y²) =
- (x² + 2y²)² - (2xy)² =
- (x² + 2y² + 2xy)(x² + 2y² - 2xy)
Used identities:
- (a + b)² = a² + 2ab + b²
- a² - b² = (a + b)(a - b)
<em>The question has inconsistent or incomplete data, so I'm filling the holes with key data.</em>
Answer:
<em>Every people at dinner received one-tenth of the original turkey= 0.1</em>
Step-by-step explanation:
<u>Proportions</u>
If some fraction a/b of a whole total M is to be computed and later removed, we proceed as follows
* Compute the portion to be removed as a/b*M
* Subtract it from the total quantity: M-a/b*M=M(1-a/b)
I'm assuming 1/5 of the turkey was lost due to overcooking. It means that (1-1/5) of the turkey remained for dinner, that is, 4/5 of the turkey.
Each people at dinner received the same amount of the remaining, so we must divide 4/5 by 8, to get 4/40, or 1/10. It means that every people at dinner received one-tenth of the original turkey
Sadly there is no way to graph properly on this website.
Answer:
5a. 4w+24≤100
5b. Dimensions=31ft x 19 ft
Area = 589ft²
Step-by-step explanation:
l=w+12
p=2l+2w
p=2(w+12)+2w
p=2w+24+2w
p=4w+24
The farmer has 100ft of fencing, so maximum that the perimeter (p) can be is 100, meaning (4w+24) has to be less than or equal to 100:
4w+24≤100
For the largest possible perimeter, all 100 of fencing will be used, so allow 100 to be equal to 4w+24)
100=4w+24
4w=76
w=19ft
l=w+12
l=19+12
l=31ft
The dimensions are 31ft x 19ft.
Area=lw
=31*19
=589ft²
Answer:
v=-5 and v=3
Step-by-step explanation:
We are given that
We have to find two solutions of quadratic equation.
Using addition property of equality
(By using factorization method)
Substitute each factor equal to 0
and 
and 
Hence, two solutions of quadratic equation are
v=-5 and v=3
