Perform the operation. (-10x^(2)+2x-4)-(3x^(2)+7x-3) Answer:

Write Polynomials: Write down the polynomials to be subtracted. We have two polynomials: (-10x^(2)+2x-4) and (3x^(2)+7x-3). We want to subtract the second polynomial from the first.Set Up Operation: Set up the subtraction operation. To subtract the second polynomial from the first, we change the signs of the second polynomial and then add it to the first polynomial. (-10x^(2)+2x-4) - (3x^(2)+7x-3) becomes (-10x^(2)+2x-4) + (-3x^(2)-7x+3).Combine Like Terms: Combine like terms. Now we combine the like terms of the resulting expression. (-10x^(2) - 3x^(2)) + (2x - 7x) + (-4 + 3)Perform Addition and Subtraction: Perform the addition and subtraction of the like terms. (-10x^(2) - 3x^(2)) = -13x^(2) (2x - 7x) = -5x (-4 + 3) = -1 So, the result is -13x^(2) - 5x - 1.

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Algebra 2

Add and subtract polynomials

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Q. Perform the operation.

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\left(-10 x^{2}+2 x-4\right)-\left(3 x^{2}+7 x-3\right)

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Answer:

Write Polynomials: Write down the polynomials to be subtracted. $\newline$ We have two polynomials: $(-10x^{2}+2x-4)$ and $(3x^{2}+7x-3)$ . We want to subtract the second polynomial from the first.
Set Up Operation: Set up the subtraction operation. $\newline$ To subtract the second polynomial from the first, we change the signs of the second polynomial and then add it to the first polynomial. $\newline$ $(-10x^{2}+2x-4) - (3x^{2}+7x-3)$ becomes $(-10x^{2}+2x-4) + (-3x^{2}-7x+3)$ .
Combine Like Terms: Combine like terms. $\newline$ Now we combine the like terms of the resulting expression. $\newline$ $(-10x^{2} - 3x^{2}) + (2x - 7x) + (-4 + 3)$
Perform Addition and Subtraction: Perform the addition and subtraction of the like terms. $\newline$ $(-10x^{2} - 3x^{2}) = -13x^{2}$ $\newline$ $(2x - 7x) = -5x$ $\newline$ $(-4 + 3) = -1$ $\newline$ So, the result is $-13x^{2} - 5x - 1$ .