Subtract -7x^(2)+8x-3 from 5x^(2)-9x. Answer:

Write Polynomials: Write down the polynomials to be subtracted. The first polynomial is 5x^(2)-9x, and the second polynomial to be subtracted from the first is -7x^(2)+8x-3.Set Up Problem: Set up the subtraction problem. (5x^(2)-9x) - (-7x^(2)+8x-3)Distribute Negative Sign: Distribute the negative sign across the second polynomial. (5x^(2)-9x) - (-7x^(2)) - (8x) + 3Combine Like Terms: Combine like terms. (5x^(2) + 7x^(2)) + (-9x - 8x) + 3Perform Addition/Subtraction: Perform the addition and subtraction of like terms. (5x^(2) + 7x^(2)) = 12x^(2) (-9x - 8x) = -17x So, the expression becomes: 12x^(2) - 17x + 3

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Subtract
-7x^(2)+8x-3 from
5x^(2)-9x.
Answer:

Subtract $-7 x^{2}+8 x-3$ from $5 x^{2}-9 x$ . $\newline$ Answer:

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Algebra 2

Add and subtract polynomials

Full solution

Q. Subtract

-7 x^{2}+8 x-3

from

5 x^{2}-9 x

\newline

Answer:

Write Polynomials: Write down the polynomials to be subtracted. $\newline$ The first polynomial is $5x^{2}-9x$ , and the second polynomial to be subtracted from the first is $-7x^{2}+8x-3$ .
Set Up Problem: Set up the subtraction problem. $\newline$ $(5x^{2}-9x) - (-7x^{2}+8x-3)$
Distribute Negative Sign: Distribute the negative sign across the second polynomial. \(5x^{ $2$ } $-9$ x) - ( $-7$ x^{ $2$ }) - ( $8$ x) + $3$ \
Combine Like Terms: Combine like terms. $\newline$ $(5x^{2} + 7x^{2}) + (-9x - 8x) + 3$
Perform Addition/Subtraction: Perform the addition and subtraction of like terms. $\newline$ $(5x^{2} + 7x^{2}) = 12x^{2}$ $\newline$ $(-9x - 8x) = -17x$ $\newline$ So, the expression becomes: $\newline$ $12x^{2} - 17x + 3$