Answer:
(the relation you wrote is not correct, there may be something missing, so I will simplify the initial expression)
Here we have the equation:
We can rewrite this as:
Now we can add and subtract cos^2(x)*sin^2(x) to get:
We can complete squares to get:
and we know that:
cos^2(x) + sin^2(x) = 1
then:
This is the closest expression to what you wrote.
We also know that:
sin(x)*cos(x) = (1/2)*sin(2*x)
If we replace that, we get:
Then the simplification is:
The simplification form of the provided expression is x¹⁸a³b³ option
(d) x¹⁸a³b³ is correct.
<h3>What is an integer exponent?</h3>In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
It is given that:
The expression:
After using the integer exponent property:
= a³b³x¹⁸ Or
=x¹⁸a³b³
Thus, the simplification form of the provided expression is x¹⁸a³b³ option
(d) x¹⁸a³b³ is correct.
Learn more about the integer exponent here:
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