How do I solve this?
(2x^1/2) * (6x^2 - x^1/2)
Here it is in words to make the equation clearer
(two x to the one half power) multiplied by (6x squared minus x to the one half power)
To solve this equation, you need to simplify the expression by multiplying and simplifying the terms.
First, let's distribute the first term, which is (2x^(1/2)), over the second term, (6x^2 - x^(1/2)).
Multiply (2x^(1/2)) with 6x^2:
(2x^(1/2)) * (6x^2) = 12x^(1/2) * x^2 = 12x^(1/2 + 2) = 12x^(5/2)
Next, multiply (2x^(1/2)) with -x^(1/2):
(2x^(1/2)) * (-x^(1/2)) = -2(x^(1/2))^2 = -2x^((1/2) + (1/2)) = -2x^1 = -2x
Now, we can combine the two terms that we obtained:
12x^(5/2) - 2x
Thus, the simplified expression is:
12x^(5/2) - 2x