Simplify: Can someone please help me with this and go through the steps for it please. Thank You

-8z(-9z^2-z-1)

Start with the distributive law:

A(B+C)
=AB+AC
and similarly
A(B+C+D)
=AB+AC+AD

Try:
4x(5x2+3x+2)
=4x*5x2 + 4x*3x + 4x*2
=20x3 + 12x2 + 8x

Can you try your problem now?

i still don't understand on how to do the problem

would the answer for the problem that i sent you be 72z^3-8z^2-1

You have to multiply -8z by all terms. Also remember that a negative times a negative equals a positive.

72z^3 + 8z^2 + 8z

I hope this helps a little more. Thanks for asking.

simplify:

can someone please help me solve this problem?
Thank You
(2k+7)(7k-1)

Sure! I'd be happy to help you simplify the expression -8z(-9z^2 - z - 1). To simplify this expression, you can use the distributive property, which states that multiplying a number by a sum of terms is the same as multiplying the number by each term individually and then adding the results together.

Here are the steps to simplify the expression:

1. Start by multiplying -8z with each term inside the parentheses (-9z^2, -z, and -1) separately.
-8z * -9z^2 = 72z^3 (Multiply -8z by -9z^2)
-8z * -z = 8z^2 (Multiply -8z by -z)
-8z * -1 = 8z (Multiply -8z by -1)

2. Combine the results of the multiplications:
72z^3 + 8z^2 + 8z (Combine the terms obtained in step 1)

So, the simplified expression is 72z^3 + 8z^2 + 8z.