A 38-inch piece of steel is cut into three pieces so that the second piece is twice as long as the first piece, and the third
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√28x³y³ is equal to
We can find this solution through the following steps.
- Rewriting the equation by factoring 4 from 28, factoring out x², and factoring out y²
- We then can rewrite 4 as 2² in our equation, leaving us with
- We will then move our x and 7, and rewrite
as
- We can then pull the terms from the radical leaving us with
For this case we have the following polynomial:
We must find the greatest common factor of the terms of the polynomial.
The GCF of the coefficients is given by:
Then we look for the GFC of the variables:
We have then:
Finally rewriting we have:
Answer:
the complete factored form of the polynomial is:
QUESTION 1
The given logarithmic expression is
We rewrite in the index form to base 4.
This implies that;
We now apply the power rule: .
Recall that logarithm of the base is 1.
QUESTION 2
The given logarithm is;
This is the same as;