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Select the correct answer.

Simplify the following polynomial expression.
3x(4x + 5) 4(-x - 3)(2x - 5)
20x² +59x - 15
O
O
1
20x² + 19x 60
4x² +59x + 60
-
4x2 + 19x + 15

Select the correct answer. Simplify the following polynomial expression. 3x(4x + 5) 4(-x-example-1

1 Answer

5 votes

Answer:

d. 4x² + 19x + 15.

Explanation:

To simplify the given polynomial expression, we will apply the distributive property and combine like terms.

The expression is:

3x(4x + 5) - 4(-x - 3)(2x - 5)

Let's simplify each term step by step:

Expand the first term, 3x(4x + 5):

= 12x² + 15x

Expand the second term, -4(-x - 3)(2x - 5):

= -4(-x - 3)(2x) + (-4)(-x - 3)(-5)

= 8x² + 12x + 20x + 60

= 8x² + 32x + 60

Now, let's combine like terms:

12x² + 15x - 4x² - 32x - 60

Combining the x² terms and the x terms:

(12x² - 4x²) + (15x - 32x) - 60

= 8x² - 17x - 60

Therefore, the simplified form of the polynomial expression 3x(4x + 5) - 4(-x - 3)(2x - 5) is:

8x² - 17x - 60

Hence, the correct option is d. 4x² + 19x + 15.

User Denzal
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