You can make it easier by replacing x^n with another variable, factoring, then putting x^n back in the end.
Using exponent and algebra rules, rewrite x^2n - 2x^n + 1 as
(x^n)^2 - (2 x x^2) + 1
Then, let x^n = m.
m^2 - 2m + 1
Now factor that: (m - 1)^2
And now put x^n back: (x^n - 1)^2
There are 16 ounces in a pound. 3 x 32= 96
96/16=6
Lucy made 6 pounds of cake. Hope this helped!
Answer:
12313
Step-by-step explanation:
If the integers have the same absolute value ... they're the same number
but with different signs ... then their sum is zero.
Example: (plus) 927 added to (negative) 927 = zero
If the integers have different absolute values ... they're different numbers with different
signs ... then their sum has the same sign as the one with the bigger absolute value.
Examples:
==> (plus) 92 added to (negative) 91
92 and 91 are 1 number apart on the number line.
The positive number is bigger than the negative number.
So the sum is +1 .
==> (plus) 35 added to (negative) 37
35 and 37 are 2 numbers apart on the number line.
The negative number is bigger than the positive one.
So the sum is -2 .
Given:
Morgan = 500 meters from her house
Length of leash = 8 meters
minimum distance of the dog from the house 500 - 8 = 492 meters.
maximum distance of the dog from the house 500 + 8 = 508 meters.
