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)
Answer:
12.3693
Step-by-step explanation:
use distance formula
Step-by-step explanation:
the change in cost of 145-135.50 = 9.50 for an increase of students from 25 to 30. The ratio of change of cost to change of students = 9.50/5 = 1.9 and becomes the slope coefficient "m" in the formula y= mx + b. y = the total cost, mx becomes the variable cost and b becomes the fixed cost. To find b, use the data point given where the total cost = $135.50 when the students = 25, or 135.50 = 1.9*25 +b. Solving for b yields $ 88. Note that the other data point is where the total cost is $145 for students = 30. Using the new total cost equation shows that 30*1.9+88= 145
Answer:Let's solve your equation step-by-step.
1
4
(2x+8)=−16
Step 1: Simplify both sides of the equation.
1
4
(2x+8)=−16
(
1
4
)(2x)+(
1
4
)(8)=−16(Distribute)
1
2
x+2=−16
Step 2: Subtract 2 from both sides.
1
2
x+2−2=−16−2
1
2
x=−18
Step 3: Multiply both sides by 2.
2*(
1
2
x)=(2)*(−18)
x=−36
Hi I don’t understand what you mean by the 10-5 and those others but if u mean order the numbers 8.1,6.5,5.2 from least to greatest then I can do that it’s 5.2, 6.5, 8.1 hope that helped
