simplify
(2x)^3 + 2^3 x
cube everything in the parenthesis and you get 8x^3
cube the 2 and you get 8
so you you get 8x^3 + 8x factor out 8x
8x (x^2 +1)
by the way you cant factor x^2+ 1 with imaginary i's i believe
To simplify the given expression, (2x)^3 + 2^3 x, we can apply the rules of exponents and combine like terms.
First, let's simplify the expression (2x)^3. To raise a power to a power, we multiply the exponents. So, (2x)^3 is equal to 2^3 * x^3, which simplifies to 8x^3.
Next, let's simplify the expression 2^3 x. The exponent represents repeated multiplication, so 2^3 means 2 * 2 * 2, which is equal to 8. Therefore, 2^3 x simplifies to 8x.
Now, we can rewrite the given expression as 8x^3 + 8x. Since there are no like terms to combine, this is the simplified form of the expression (2x)^3 + 2^3 x.