Question

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

Answer 1

8r⁶s³ - 5r⁵s⁴ + r⁴s⁵ + 5r³s⁶

Explanation:

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

We need to combine like terms, take care the exponents of r and s

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

multiply the second parenthesis by -1

= 8r⁶s³-9r⁵s⁴+3r⁴s⁵-2r⁴s⁵+5r³s⁶+4r⁵s⁴

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

= 8r⁶s³ - 5r⁵s⁴ + r⁴s⁵ + 5r³s⁶

Note: r⁶s³ is not like r³s⁶