Perform the operation. (-4x^(2)-1)-(-7x^(2)-6x+7) Answer:

Write Polynomials to Subtract: Write down the polynomials to be subtracted. We have the polynomials (-4x^(2)-1) and (-7x^(2)-6x+7). We need to subtract the second polynomial from the first.Change Subtraction to Addition: Change the subtraction to addition by changing the signs of the second polynomial. Subtracting a polynomial is the same as adding its opposite. So, we change the signs of all the terms in the second polynomial before adding it to the first. (-4x^(2)-1) - (-7x^(2)-6x+7) becomes (-4x^(2)-1) + (7x^(2)+6x-7).Combine Like Terms: Combine like terms. Now we add the polynomials together by combining like terms. (-4x^(2) + 7x^(2)) + (0x + 6x) + (-1 - 7)Simplify Expression: Simplify the expression. Simplify each group of like terms. (-4 + 7)x^(2) + (0 + 6)x + (-1 - 7) 3x^(2) + 6x - 8

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Algebra 2

Add and subtract polynomials

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Q. Perform the operation.

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\left(-4 x^{2}-1\right)-\left(-7 x^{2}-6 x+7\right)

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Answer:

Write Polynomials to Subtract: Write down the polynomials to be subtracted. $\newline$ We have the polynomials $(-4x^{2}-1)$ and $(-7x^{2}-6x+7)$ . We need to subtract the second polynomial from the first.
Change Subtraction to Addition: Change the subtraction to addition by changing the signs of the second polynomial. $\newline$ Subtracting a polynomial is the same as adding its opposite. So, we change the signs of all the terms in the second polynomial before adding it to the first. $\newline$ $(-4x^{2}-1) - (-7x^{2}-6x+7)$ becomes $(-4x^{2}-1) + (7x^{2}+6x-7)$ .
Combine Like Terms: Combine like terms. $\newline$ Now we add the polynomials together by combining like terms. $\newline$ $(-4x^{2} + 7x^{2}) + (0x + 6x) + (-1 - 7)$
Simplify Expression: Simplify the expression. $\newline$ Simplify each group of like terms. $\newline$ $(-4 + 7)x^{2} + (0 + 6)x + (-1 - 7)$ $\newline$ $3x^{2} + 6x - 8$