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-x(7x - 8)

1. 6x2 - 9x
2. -7x - 8x
3. -7x2 + 8x
4. 7x + 8x

3. -7x2 + 8x

explain

When we distribute the negative sign to the expressions inside the parentheses, it becomes:

-1 * 7x = -7x
-1 * (-8) = 8

So, we get:

-7x + 8x

Which simplifies to:

-7x2 + 8x

Therefore, the correct answer is option 3, -7x2 + 8x.

To simplify the expression -x(7x - 8), you can distribute the -x into the parentheses. Here's how you can do it step-by-step:

Step 1: Distribute -x to both terms inside the parentheses:
-1 * 7x = -7x
-1 * -8 = 8

So, the expression becomes:
-7x + 8

Did you know?

Did you know that the expression x(7x - 8) can be simplified into four different expressions? 1. 6x^2 - 9x: By distributing the x into the parentheses, we get 7x^2 - 8x. Then, we can simplify it further by combining like terms and rearranging the terms to get 6x^2 - 9x. 2. -7x - 8x: Distributing the x gives us -7x^2 + 8x. By combining like terms, we can simplify it to -15x. 3. -7x^2 + 8x: Similarly, distributing the x leads to -49x^2 + 56x. We cannot simplify it further since there are no like terms. 4. 7x + 8x: Again, distributing the x results in 49x^2 + 56x. We cannot simplify it further since there are no like terms. These different expressions showcase the different ways the original expression can be expanded and simplified.