Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Perform the operation.

(-7x^(2)-10)-(-5x^(2)+9x-7)
Answer:

Perform the operation. $\newline$ $\left(-7 x^{2}-10\right)-\left(-5 x^{2}+9 x-7\right)$ $\newline$ Answer:

View step-by-step help

View step-by-step help

Add and subtract polynomials

Full solution

Q. Perform the operation.

\newline

\left(-7 x^{2}-10\right)-\left(-5 x^{2}+9 x-7\right)

\newline

Answer:

Identify Polynomials and Operation: Identify the polynomials and the operation to be performed. $\newline$ We have two polynomials, $(-7x^{2}-10)$ and $(-5x^{2}+9x-7)$ , and we need to subtract the second polynomial from the first.
Distribute Negative Sign: Distribute the negative sign to the terms of the second polynomial. $\newline$ Subtracting a polynomial is the same as adding its opposite. We distribute the negative sign to each term of the second polynomial. $\newline$ $(-7x^{2}-10) - (-5x^{2}+9x-7)$ becomes $(-7x^{2}-10) + (5x^{2}-9x+7)$ .
Combine Like Terms: Combine like terms. $\newline$ Now we add the corresponding terms from each polynomial. $\newline$ $(-7x^{2} + 5x^{2}) + (-9x) + (-10 + 7)$
Simplify Expression: Simplify the expression. $\newline$ Combine the $x^2$ terms, the $x$ terms, and the constant terms. $\newline$ $(-7 + 5)x^{2} - 9x + (-10 + 7)$ $\newline$ $(-2x^{2}) - 9x - 3$

More problems from Add and subtract polynomials

Question

Find the degree of this polynomial.

\newline

`5b^{10} + 3b^3`

\newline

Posted 2 months ago

Question

\newline

(9a + 5) - (2a + 4)

\newline

Posted 2 months ago

Question

Find the product. Simplify your answer.

\newline

-3v^2(v^2 - 9)

\newline

Posted 1 month ago

Question

Find the product. Simplify your answer.

\newline

(v - 3)(4v + 1)

\newline

Posted 2 months ago

Question

Find the square. Simplify your answer.

\newline

(3y + 2)^2

\newline

Posted 2 months ago

Question

Divide. If there is a remainder, include it as a simplified fraction.

\newline

(24t^2 + 36t) \div 6t

\newline

Posted 2 months ago

Question

Is the function

q(x) = x^6 - 9

even, odd, or neither?

\newline

\newline

\text{[[even][odd][neither]]}

Posted 2 months ago

Question

Find the product. Simplify your answer.

\newline

-3q^2(-3q^2 + q)

\newline

Posted 2 months ago

Question

Find the product. Simplify your answer.

\newline

(r + 3)(4r + 2)

\newline

Posted 2 months ago

Question

Find the roots of the factored polynomial.

\newline

(x + 7)(x + 4)

\newline

Write your answer as a list of values separated by commas.

\newline

x =

Posted 2 months ago