Question

Rewrite without parentheses. -7r^(3)s^(6)(8s^(5)-5r+4) Simplify your answer as much as possible.

Answer 1

To rewrite the expression without parentheses, distribute the negative sign and simplify the terms by multiplying and combining like terms, we get -56r^3s^11 + 35r^4s^6 - 28r^3s^6.

Step-by-step explanation:

To rewrite the expression without parentheses, we need to distribute the negative sign and simplify the terms.

Start by multiplying -7r^3s^6 with each term inside the parentheses:

-7r^3s^6 * 8s^5 = -56r^3s^11

-7r^3s^6 * (-5r) = 35r^4s^6

-7r^3s^6 * 4 = -28r^3s^6

Combine the simplified terms:

-56r^3s^11 + 35r^4s^6 - 28r^3s^6

Now, combine the like terms:

-56r^3s^11 + (35r^4s^6 - 28r^3s^6)

-56r^3s^11 + 35r^4s^6 - 28r^3s^6