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

2 Answers

6 votes

Answer:

-6x^3 + 5x^2 + 13x - 20

Explanation:

User Shameika
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4 votes
To simplify the expression (3x+5)(-2x^2-4+5x), we need to apply the distributive property and combine like terms.

Let's break down the expression step by step:

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

Multiply the terms inside the parentheses:

= 3x * -2x^2 + 3x * -4 + 3x * 5x + 5 * -2x^2 + 5 * -4 + 5 * 5x

= -6x^3 - 12x + 15x^2 - 10x^2 - 20 - 20x

Now, let's combine the like terms:

= -6x^3 + 15x^2 - 10x^2 - 12x - 20x - 20

= -6x^3 + 5x^2 - 32x - 20

Therefore, the simplified form of (3x+5)(-2x^2-4+5x) is -6x^3 + 5x^2 - 32x - 20.
User Rohan Parab
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