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Question: 1 / 400

Simplify the expression 5x times (3x^2 - 5).

15x^3 - 25x

To simplify the expression 5x times (3x^2 - 5), you need to distribute 5x to each term inside the parentheses.

Starting with the first term in the parentheses, multiply 5x by 3x^2:

5x * 3x^2 = 15x^{1+2} = 15x^3.

Next, take the second term in the parentheses and multiply 5x by -5:

5x * (-5) = -25x.

Now combine the results from both multiplications:

15x^3 - 25x.

This yields the final simplified form, which is 15x^3 - 25x. Thus, the correct choice is the one that matches this result.

Get further explanation with Examzify DeepDiveBeta

15x^3 - 5

-25x^3 + 5

15x^3 + 5x

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