Question

Find the difference by subtracting the second polynomial from the first.(11m^(2)n^(5)-3m^(2)n^(3)+5mn-n ) and (-6m^(2)n^(5)+3m^(2)n^(5)+m+2n )

Answer 1

The difference between the two polynomials is found by changing the signs of the terms in the second polynomial and combining like terms with the first. The result after combining like terms is 17m^2n^5 - 6m^2n^3 + 4mn - 3n.

Step-by-step explanation:

To subtract the second polynomial from the first, we need to change the signs of the terms in the second polynomial and then combine like terms with the first polynomial. The first polynomial is 11m2n5 - 3m2n3 + 5mn - n and the second polynomial is -6m2n5 + 3m2n3 + m + 2n. After changing the signs of the second polynomial, it becomes +6m2n5 - 3m2n3 - m - 2n. Now, we combine like terms.

The difference of the two polynomials is:

• 11m2n5 + 6m2n5 = 17m2n5
• -3m2n3 - 3m2n3 = -6m2n3
• 5mn - m = 4mn
• -n - 2n = -3n

Therefore, the final expression for the difference of the two polynomials is 17m2n5 - 6m2n3 + 4mn - 3n.