Answer:
All the answers are given below.
Step-by-step explanation:
(i) (x+3)(x-3) =x² -3² =x² -9 {Since (a+b)(a-b) =a² -b²}
(ii) (x²-3)(x²+3) =(x²)² -3² =
{Since (a+b)(a-b) =a² -b²}
(iii)
(iv) (x-3)(x²-9)(x+3) =(x²-9)(x²-9)=(x²-9)²=
{Since, (a-b)² =a²-2ab+b²}
(v) (x²+y²)(x²-y²) = (x²)² -(y²)² =
(vi) (x²+y²)² =
{Since (a+b)² =a²+2ab+b²}
(vii) (x-y)²(x+y)² =(x²-y²)² =
{Since (a-b)² =a²-2ab+b² and (a+b)(a-b) =a²-b²}
(viii) (x-y)²(x²+y²)²(x+y)² =(x²+y²)²(x²-y²)² =
(Answer)
Answer:
6
Step-by-step explanation:
Use the slope formula:

Picking x = 2 and x = 4 as my two points (since the interval is 2 ≤ x ≤ 4), we get:

So, the BEST estimate of the average rate of change for the function given in the table is 6.
Answer:

Step-by-step explanation:
Using the rules of exponents
×
=
,
=
,
= 
Simplifying the product of the first 2 terms
× 
=
× 
= 
Simplifying the third term
5(
= 5
= 5
Performing the division, that is
← cancel
on numerator/ denominator leaves
= 
Answer:
b = -2c ± [√(4π²c² + πA)]/π
Step-by-step explanation:
A = 4πbc + πb^2
A = 4πbc + πb²
πb² + 4πbc - A = 0
Using the quadratic formula to solve this quadratic equation.
The quadratic formula for the quadratic equation, pb² + qb + r = 0, is given as
b = [-q ± √(q² - 4pr)] ÷ 2p
Comparing
πb² + 4πbc - A = 0 with pb² + qb + r = 0,
p = π
q = 4πc
r = -A
b = [-q ± √(q² - 4pr)] ÷ 2p
b = {-4πc ± √[(4πc)² - 4(π)(-A)]} ÷ 2π
b = {-4πc ± √[16π²c² + 4πA]} ÷ 2π
b = (-4πc/2π) ± {√[16π²c² + 4πA] ÷ 2π}
b = -2c ± [√(4π²c² + πA)]/π
Hope this Helps!!!