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
Subtraction Property of Inequality is used to solve the given inequality
<em><u>Solution:</u></em>
Given inequality is:

To solve the inequality, subtract 8 on both sides,
We know that,
Adding or subtracting the same quantity from both sides of an inequality leaves the inequality symbol unchanged
Also, by Subtraction Property of Inequality,
If you minus a number from one side of an inequality, you have to minus that same number from the other side of the inequality as well

Thus, Subtraction Property of Inequality is used
Step-by-step explanation:
p = 0.1, q = 0.9, n = 7
a) Use complementary probability.
P(at least 1) = 1 − P(0)
P(at least 1) = 1 − (0.9)⁷
P(at least 1) = 0.522
b) Use binomial probability.
P = nCr pʳ qⁿ⁻ʳ
P(3) = ₇C₃ (0.1)³ (0.9)⁴
P(3) = 0.023
<span>The answer is 90,000</span>
Answer:a
Step-by-step explanation: