Answer:

Let's break down the problem step by step.

The product of the square root of 16x² and thrice the number x is:

sqrt(16x²) x 3x = 4x x 3x = 12x²

Twice the square of 3x is:

2 x (3x)² = 2 x 9x² = 18x²

Therefore, the expression "twice the square of 3x subtracted from the product of the square root of 16x² and thrice the number x" is:

12x² - 18x² = -6x²

So the answer is (b) -6x².

Answer:

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Step-by-step explanation:

The expression for the given problem is:

√(16x²) x 3x - 2(3x)²

Simplifying this expression, we get:

4x x 3x - 2(9x²)

12x² - 18x²

-6x²

Therefore, the answer is option (b) -6x².