First you can apply the a²-b² = (a+b)(a-b) theorem, you'll get:
(p²)² - 9² = (p²+9)(p²-9), but that's not all, you can apply it again on the last factor:
(p²+9)(p²-3²) = (p²+9)(p+3)(p-3)
The first factor cannot be simplified like that, so that's the furthest factorization. So answer (3) is the right one.
Answer:
8,146 x 121
Step-by-step explanation:
This is a problem in which you need to measure your understading of "orders of magnitude."
If the estimated answer is 
that means that we are looking at a multiplication in the "order of" 
You need to look at the "orders of magnitude" of the things you're multiplying. In the first case, we have 
that would be "of the order of" 
times 
. So the whole multiplication would "of the order of" 
or near 
The correct answer, 8,146 x 121, is because it's "of the order of" times 
and the gives us the we need.
Answer:
(-3 , 0) (0, 2) (6, -6)
Step-by-step explanation:
Solving for x - intercept:
2x - 3(0) = -6
2x = -6
2x/2 = -6/2
x = -3
One point would be (-3 , 0) .
Solving for y-intercept:
2(0) - 3y = -6
-3y = -6
-3y/-3 = -6/-3
y = 2
Another point would be (0, 2).
When 'x' equals 6:
2(6) - 3y = -6
12 - 3y = -6
12 - 12 - 3y = -6 - 12
-3y = -18
-3y/3 = -18/3
y = -6
The third point would be (6, -6).
Given that,
Point = (-5,3)
Slope, m = -3/5
To find,
The slope intercept form of the equation of the line.
Solution,
The general form of equation is :
y = mx +b
We have, x = -5, y = 3
So,
The equation is :
Hence, the required equation is .
