Is `2^3+3^3` is divisible by (2 + 3) or not?

Is 2^(2) + 4^(2) is divisible by (2 + 3) or not ?

Verify whether 2x ^(4) - 6x ^(3) + 3x ^(2) + 3x -2 is divisible by x ^(2) - 3x +2 or not ? How can you verify using Factor Theorem ?

Check whether 2^2+2^3+2^4 is divisible by 2 or 4 or by both 2 and 4.

The value of b so that x^(4) - 3x^(3) + 5x^(2) - 33x + b is divisible by x^(2) - 5x + 6 is

Check whether 2^(2) + 3^(2) + 2^(2) is divisible by 2 ?

The number divisible by 3 is

Check whether 2^(4) + 2^(2) + 2^(3) is divisible by 2 ? Explain

Check whether 3^3-3^2 is divisible by 3. Explain.

Check whether 2^3+2^4+2^5 is divisible by 2. Explain.

Fill in the blanks : If a number is divisible by 2 and3 then it is divisible by ______