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Which of the following is equivalent to 7a3 + 2a2 - 9.2a - - (a3 - 5a2 + 10a + )?A6a3 + 7a2 - 2a - B6a3 + 7a2 - 19.2a - C6a3 + 7a2 - 19.2a + D6a3 + 5a2 - 19.2a -

Question

Which of the following is equivalent to 7a3 + 2a2 - 9.2a - - (a3 - 5a2 + 10a + )?A6a3 + 7a2 - 2a - B6a3 + 7a2 - 19.2a - C6a3 + 7a2 - 19.2a + D6a3 + 5a2 - 19.2a -

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Solution

To find the equivalent expression, we need to subtract the second expression from the first.

The first expression is 7a^3 + 2a^2 - 9.2a -

The second expression is a^3 - 5a^2 + 10a +

Subtracting the second expression from the first gives us:

(7a^3 - a^3) + (2a^2 - (-5a^2)) - (9.2a - 10a) -

This simplifies to:

6a^3 + 7a^2 - 19.2a -

So, the equivalent expression is B: 6a^3 + 7a^2 - 19.2a -

This problem has been solved

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