Subtract the polynomials as indicated. (7m^(3)+9m^(2)-m+2.2)-(-3m^(3)+3m+3.6)

Write Polynomials: Write down the polynomials to be subtracted. We have the first polynomial (7m^(3)+9m^(2)-m+2.2) and the second polynomial (-3m^(3)+3m+3.6) that we need to subtract.Change Signs and Add: Change the sign of each term in the second polynomial and then add it to the first polynomial. Subtracting a polynomial is the same as adding its opposite. So, we change the signs of all the terms in the second polynomial and then add it to the first polynomial. (7m^(3)+9m^(2)-m+2.2) - (-3m^(3)+3m+3.6) becomes (7m^(3)+9m^(2)-m+2.2) + (3m^(3)-3m-3.6).Combine Like Terms: Combine like terms. Now, we add the coefficients of like terms. (7m^(3) + 3m^(3)) + (9m^(2)) + (-m - 3m) + (2.2 - 3.6) = 10m^(3) + 9m^(2) - 4m - 1.4Write Final Answer: Write the final answer. The result of the subtraction is the polynomial 10m^(3) + 9m^(2) - 4m - 1.4.

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Subtract the polynomials as indicated. $\newline$ $(7m^{3}+9m^{2}-m+2.2)-(-3m^{3}+3m+3.6)$

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Algebra 1

Multiplication with rational exponents

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Q. Subtract the polynomials as indicated.

\newline

(7m^{3}+9m^{2}-m+2.2)-(-3m^{3}+3m+3.6)

Write Polynomials: Write down the polynomials to be subtracted. $\newline$ We have the first polynomial $7m^{3}+9m^{2}-m+2.2$ and the second polynomial $-3m^{3}+3m+3.6$ that we need to subtract.
Change Signs and Add: Change the sign of each term in the second polynomial and then add it to the first 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 and then add it to the first polynomial. $\newline$ $(7m^{3}+9m^{2}-m+2.2) - (-3m^{3}+3m+3.6)$ becomes $(7m^{3}+9m^{2}-m+2.2) + (3m^{3}-3m-3.6)$ .
Combine Like Terms: Combine like terms. $\newline$ Now, we add the coefficients of like terms. $\newline$ $(7m^{3} + 3m^{3}) + (9m^{2}) + (-m - 3m) + (2.2 - 3.6)$ $\newline$ = $10m^{3} + 9m^{2} - 4m - 1.4$
Write Final Answer: Write the final answer. $\newline$ The result of the subtraction is the polynomial $10m^{3} + 9m^{2} - 4m - 1.4$ .