Subtract. Simplify your answer. (r^(3)-9r^(2)+3r)-(8r^(3)-8r^(2)+3r-7) ◻

Write Polynomials to Subtract: First, let's write down the polynomials we need to subtract: (r^3 - 9r^2 + 3r) - (8r^3 - 8r^2 + 3r - 7)Distribute Negative Sign: Now, distribute the negative sign to the second polynomial: (r^3 - 9r^2 + 3r) - 8r^3 + 8r^2 - 3r + 7Combine Like Terms: Next, combine like terms by subtracting the coefficients of the same powers of r: r^3 - 8r^3 = -7r^3 -9r^2 + 8r^2 = -r^2 3r - 3r = 0r And don't forget the constant term at the end: +7Write Simplified Polynomial: Now, write down the simplified polynomial: -7r^3 - r^2 + 7

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Subtract. Simplify your answer.

(r^(3)-9r^(2)+3r)-(8r^(3)-8r^(2)+3r-7)

◻

Subtract. Simplify your answer. $\newline$ $(r^{3}-9r^{2}+3r)-(8r^{3}-8r^{2}+3r-7)$ $\newline$ ◻

View step-by-step help

Home

Math Problems

Algebra 2

Multiply and divide rational expressions

Full solution

Q. Subtract. Simplify your answer.

\newline

(r^{3}-9r^{2}+3r)-(8r^{3}-8r^{2}+3r-7)

\newline

◻

Write Polynomials to Subtract: First, let's write down the polynomials we need to subtract: r^\(3 - $9$ r^ $2$ + $3$ r) - ( $8$ r^ $3$ - $8$ r^ $2$ + $3$ r - $7$ )\
Distribute Negative Sign: Now, distribute the negative sign to the second polynomial: r^\(3 - $9$ r^ $2$ + $3$ r) - $8$ r^ $3$ + $8$ r^ $2$ - $3$ r + $7$ \
Combine Like Terms: Next, combine like terms by subtracting the coefficients of the same powers of $r$ : $r^3 - 8r^3 = -7r^3$ $-9r^2 + 8r^2 = -r^2$ $3r - 3r = 0r$ And don't forget the constant term at the end: $+7$
Write Simplified Polynomial: Now, write down the simplified polynomial: $-7r^3 - r^2 + 7$