Perform the operation. (-10x^(2)+7x-1)-(-5x^(2)+5) Answer:

Write Polynomials: Write down the polynomials to be subtracted. We have the polynomials (-10x^(2)+7x-1) and (-5x^(2)+5). We need to subtract the second polynomial from the first.Set Up Operation: Set up the subtraction operation. To subtract the polynomials, we change the signs of the second polynomial and then add it to the first polynomial. (-10x^(2)+7x-1) - (-5x^(2)+5) = (-10x^(2)+7x-1) + (5x^(2)-5)Combine Like Terms: Combine like terms. Now, we add the coefficients of the like terms. (-10x^(2) + 5x^(2)) + (7x) + (-1 - 5) = (-10 + 5)x^(2) + 7x + (-1 - 5)Simplify Expression: Simplify the expression. We simplify the expression by performing the addition and subtraction. (-10 + 5)x^(2) + 7x + (-1 - 5) = -5x^(2) + 7x - 6

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Algebra 2

Add and subtract polynomials

Full solution

Q. Perform the operation.

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\left(-10 x^{2}+7 x-1\right)-\left(-5 x^{2}+5\right)

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Answer:

Write Polynomials: Write down the polynomials to be subtracted. $\newline$ We have the polynomials $(-10x^{2}+7x-1$ ) and $(-5x^{2}+5$ ). We need to subtract the second polynomial from the first.
Set Up Operation: Set up the subtraction operation. $\newline$ To subtract the polynomials, we change the signs of the second polynomial and then add it to the first polynomial. $\newline$ $(-10x^{2}+7x-1) - (-5x^{2}+5)$ $\newline$ = $(-10x^{2}+7x-1) + (5x^{2}-5)$
Combine Like Terms: Combine like terms. $\newline$ Now, we add the coefficients of the like terms. $\newline$ $(-10x^{2} + 5x^{2}) + (7x) + (-1 - 5)$ $\newline$ = $(-10 + 5)x^{2} + 7x + (-1 - 5)$
Simplify Expression: Simplify the expression. $\newline$ We simplify the expression by performing the addition and subtraction. $\newline$ $(-10 + 5)x^{2} + 7x + (-1 - 5)$ $\newline$ = $-5x^{2} + 7x - 6$