Subtract -2x-10 from 8x^(2)-10 x-4. Answer:

Identify Polynomials: Identify the polynomials to be subtracted. We have the polynomial 8x^(2)-10x-4, and we need to subtract the polynomial -2x-10 from it.Write Subtraction Expression: Write the subtraction expression. To subtract -2x-10 from 8x^(2)-10x-4, we write the expression as follows: (8x^(2)-10x-4) - (-2x-10)Distribute Negative Sign: Distribute the negative sign across the second polynomial. When subtracting, we need to distribute the negative sign to each term in the second polynomial: (8x^(2)-10x-4) - (-2x) - (-10)Simplify Expression: Simplify the expression by removing the parentheses and combining like terms. (8x^(2)-10x-4) + 2x + 10 Now, combine like terms: 8x^(2) + (-10x + 2x) + (-4 + 10)Complete Like Terms: Complete the addition of like terms. 8x^(2) + (-10x + 2x) + (-4 + 10) simplifies to: 8x^(2) - 8x + 6

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Algebra 2

Add and subtract polynomials

Full solution

Q. Subtract

-2 x-10

from

8 x^{2}-10 x-4

\newline

Answer:

Identify Polynomials: Identify the polynomials to be subtracted. $\newline$ We have the polynomial $8x^{2}-10x-4$ , and we need to subtract the polynomial $-2x-10$ from it.
Write Subtraction Expression: Write the subtraction expression. $\newline$ To subtract $-2x-10$ from $8x^{2}-10x-4$ , we write the expression as follows: $\newline$ $(8x^{2}-10x-4) - (-2x-10)$
Distribute Negative Sign: Distribute the negative sign across the second polynomial. $\newline$ When subtracting, we need to distribute the negative sign to each term in the second polynomial: $\newline$ $(8x^{2}-10x-4) - (-2x) - (-10)$
Simplify Expression: Simplify the expression by removing the parentheses and combining like terms. $\newline$ $(8x^{2}-10x-4) + 2x + 10$ $\newline$ Now, combine like terms: $\newline$ $8x^{2} + (-10x + 2x) + (-4 + 10)$
Complete Like Terms: Complete the addition of like terms. $\newline$ $8x^{2} + (-10x + 2x) + (-4 + 10)$ simplifies to: $\newline$ $8x^{2} - 8x + 6$