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Perform the operation.

(-3x^(2)+9x+3)-(5x-5)
Answer:

Perform the operation. $\newline$ $\left(-3 x^{2}+9 x+3\right)-(5 x-5)$ $\newline$ Answer:

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Add and subtract polynomials

Full solution

Q. Perform the operation.

\newline

\left(-3 x^{2}+9 x+3\right)-(5 x-5)

\newline

Answer:

Write Polynomials and Subtraction: Write down the polynomials and the subtraction operation. $\newline$ We have the polynomials $(-3x^{2}+9x+3)$ and $(5x-5)$ , and we need to subtract the second polynomial from the first. $\newline$ $(-3x^{2}+9x+3) - (5x-5)$
Distribute Negative Sign: Distribute the negative sign to the terms of the second polynomial. $\newline$ When subtracting polynomials, we need to distribute the negative sign across all terms of the second polynomial. $\newline$ $(-3x^{2}+9x+3) - (5x) + 5$
Combine Like Terms: Combine like terms. $\newline$ Now, we combine the like terms from both polynomials. $\newline$ $(-3x^{2} + 9x + 3) - 5x + 5$ $\newline$ Combine the $x$ terms: $9x - 5x = 4x$ $\newline$ Combine the constant terms: $3 + 5 = 8$ $\newline$ So, the result is $-3x^{2} + 4x + 8$

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