What is the simplest form of the expression 6x(x - 4)-16x² - (9x - 1)?

Solution:

According to the distributive property of multiplication, when we multiply a number with the sum of two or more addends, we get a result that is equal to the result that is obtained when we multiply each addend separately by the number.

It is given that,

6x(x - 4) - 16x² - (9x - 1),

Using the multiplicative distributive property

= 6x² - 24x - 16x² - 9x +1

Now we have to arrange the like terms we get,

= 6x² - 16x² - 24x – 9x + 1

So we get,

= -10x² - 33x + 1

Therefore, the simplest form is -10x² - 33x + 1.

What is the simplest form of the expression 6x(x - 4) - 16x² - (9x - 1)?

Summary:

The simplest form of the expression 6x(x - 4) - 16x² - (9x - 1) is -10x² - 33x + 1.