Solve absolute value inequality : 5|2x+1|-3\geq 9

Find a recurrence relation satisfied by this sequence.
${\displaystyle a_n=n^2}$

Factor the polynomial ${\displaystyle -x{y}^3-x^{3}y}$

Form a polynomial f(x) with real coefficients the given degree and zeros. Degree 4, Zeros:, 4-4i, -5 multiplicity 2

Solve absolute value inequality :
${\displaystyle \left|3(x-1)\right|+2\le 20}$

Solve the following equations and inequalities, please
a) ${\displaystyle -x^2+2x>1}$
b) ${\displaystyle [1-3x]=5}$
c) ${\displaystyle [4x-3]\le 2}$

If $x$ and $y$ are irrational numbers then $x$ to the power of $y$ is irrational I am asked to prove or disprove this statement.

Find a counterexample to show that each statement is false.
The sum of any three odd numbers is even.
When an even number is added to the product of two odd numbers, the result will be even.
When an odd number is squared and divided by 2, the result will be a whole number.