(4x^(2)-10 x)+(2x^(2)+5x-5)

Combine like terms: To subtract one polynomial from another, we combine like terms, which means we subtract the coefficients of the terms with the same degree from each other. We will perform this operation on the given polynomials (4x^(2) - 10x) - (2x^(2) + 5x - 5).Subtract x^2 terms: First, we subtract the x^2 terms. We have 4x^2 from the first polynomial and we are subtracting 2x^2 from the second polynomial. Calculation: 4x^2 - 2x^2 = 2x^2.Subtract x terms: Next, we subtract the x terms. We have -10x from the first polynomial and we are subtracting 5x from the second polynomial. Calculation: -10x - 5x = -15x.Subtract constant terms: Finally, we subtract the constant terms. There is no constant term in the first polynomial, and we are subtracting -5 from the second polynomial. Calculation: 0 - (-5) = 5.Combine final answer: Now, we combine all the results from the previous steps to get the final answer. Calculation: 2x^2 - 15x + 5.

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Math Problems

Calculus

Find derivatives of using multiple formulae

Full solution

\left(4 x^{2}-10 x\right)+\left(2 x^{2}+5 x-5\right)

Combine like terms: To subtract one polynomial from another, we combine like terms, which means we subtract the coefficients of the terms with the same degree from each other. We will perform this operation on the given polynomials $(4x^{2} - 10x) - (2x^{2} + 5x - 5)$ .
Subtract $x^2$ terms: First, we subtract the $x^2$ terms. We have $4x^2$ from the first polynomial and we are subtracting $2x^2$ from the second polynomial. $\newline$ Calculation: $4x^2 - 2x^2 = 2x^2$ .
Subtract x terms: Next, we subtract the x terms. We have $-10x$ from the first polynomial and we are subtracting $5x$ from the second polynomial. $\newline$ Calculation: $-10x - 5x = -15x$ .
Subtract constant terms: Finally, we subtract the constant terms. There is no constant term in the first polynomial, and we are subtracting $-5$ from the second polynomial. $\newline$ Calculation: $0 - (-5) = 5$ .
Combine final answer: Now, we combine all the results from the previous steps to get the final answer. $\newline$ Calculation: $2x^2 - 15x + 5$ .