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Perform the operation.

(-10x^(2)+2x-4)-(3x^(2)+7x-3)
Answer:

Perform the operation. $\newline$ $\left(-10 x^{2}+2 x-4\right)-\left(3 x^{2}+7 x-3\right)$ $\newline$ Answer:

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Add and subtract polynomials

Full solution

Q. Perform the operation.

\newline

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

\newline

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 $-13x^{2} - 5x - 1$ .

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