Perform the operation. (-7x^(2)-10)-(-5x^(2)+9x-7) Answer:

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

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Algebra 2

Add and subtract polynomials

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Q. Perform the operation.

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

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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. $\newline$ $(-7 + 5)x^{2} - 9x + (-10 + 7)$ $\newline$ $(-2x^{2}) - 9x - 3$