What is the difference between the polynomials? (8r⁶s³ - 9r⁵s⁴ + 3r⁴s⁵) - (2r⁴s⁵ - 5r³s⁶ - 4r⁵s⁴)

Solution:

We have to find the difference between the polynomials

(8r⁶s³ - 9r⁵s⁴ + 3r⁴s⁵) - (2r⁴s⁵ - 5r³s⁶ - 4r⁵s⁴)

By multiplying the negative sign

= 8r⁶s³ - 9r⁵s⁴ + 3r⁴s⁵ - 2r⁴s⁵ + 5r³s⁶ + 4r⁵s⁴

Let us combine the like terms of same power

= 8r⁶s³ - (9r⁵s⁴ - 4r⁵s⁴) + (3r⁴s⁵ - 2r⁴s⁵) + 5r³s⁶

On simplification, we get

= 8r⁶s³ - 5r⁵s⁴ + r⁴s⁵ + 5r³s⁶

Therefore, the difference between the polynomials is (8r⁶s³ - 5r⁵s⁴ + r⁴s⁵ + 5r³s⁶).

What is the difference between the polynomials? (8r⁶s³ - 9r⁵s⁴ + 3r⁴s⁵) - (2r⁴s⁵ - 5r³s⁶ - 4r⁵s⁴)

Summary:

The difference between the polynomials is (8r⁶s³ - 5r⁵s⁴ + r⁴s⁵ + 5r³s⁶).