A prime multiplied by a prime is always a prime. A square multiplied by a square is always a square.
An odd number multiplied by an odd number is always an odd number.
An even number multiplied by an even number is always an even number.

1. No

2. yes

3. yes

4. yes

Step-by-step explanation:

1. 2×3=6, 7×3=21 (The product of two (or more) prime numbers cannot result in another prime number. By definition, a prime number is a number that is divisible by 1 or itself - multiplying two or more primes together will always yield a number divisible by 1, itself and the prime numbers multiplied together to achieve it.

2.When you multiply an integer (a “whole” number, positive, negative or zero) times itself, the resulting product is called a square number, or a perfect square or simply “a square.” So, 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on, are all square numbers.

3. 1×3=3, 3×5=15 (odd numbers are not divisible by 2)Therefore, every prime number other than 2 is an odd number

4. 2×4=8, 6×8=48

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.