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Answer :
It accurately represents the simplified expression obtained by distributing and combining like terms in the given expression.
The correct answer is a. 60000(6-x) + 85000√(2)(x² + 1/4).
To simplify the given expression, let's start by distributing the terms:
60000(6-x) + 85000√(2)(x² + 1/4)
Expanding the first term:
= 60000*6 - 60000*x
Expanding the second term:
= 85000√(2)*x² + 85000√(2)*(1/4)
Now, we simplify each term:
= 360000 - 60000x + 85000√(2)*x² + 21250√(2)
Combining like terms:
= 360000 + 21250√(2) - 60000x + 85000√(2)*x²
Therefore, the simplified expression is 60000(6-x) + 85000√(2)(x² + 1/4), which matches option (a).
This option fits the given expression after simplification, with the coefficients and terms matching accordingly. The process involves distributing and expanding terms, followed by combining like terms to achieve the final simplified form.
Option (b) is eliminated due to the incorrect sign before the second term, while options (c) and (d) differ in the constant term and the sign before the variable term, making them incorrect. Hence, option (a) is the correct choice.
The correct answer is a. 60000(6-x) + 85000√(2)(x² + 1/4).
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