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)
It would be 26 repeating itself
Number of nickels plus number of dimes equals total number of coins
so
n + d = 40
then they tell us that "there are seven times as many dimes as there are nickels"
this translates to
d = 7n
we then plug that into our first equation
and get
n + 7n = 40
then we solve for n
add like terms
8n = 40
then divide both sides by 8
n = 40/8 = 5
therefore Jimmy has 5 nickels
Answer: 82 sq. units .
Step-by-step explanation:
Let A (9, −1), B (−1, 7), C(−5, 2), D(5, −6) are the vertices of rectangle.
Then we plot them on graph ( as provided in attachment)
Length = AB 
units [By distance formula : 
]
units
Width = BC = 
units
Area = length x width
= 
Hence, the area of the rectangle is 82 sq. units .
Answer:
the area of the circle is 102.11 square metres
