Perform the operation. (-3x^(2)+9x+3)-(5x-5) Answer:

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

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Algebra 2

Add and subtract polynomials

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Q. Perform the operation.

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

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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 $-3x^{2} + 4x + 8$