Q:

What is the difference of the polynomials? 8r6s3-9r5s4+3r4s5-2r4s5-5r3s6-4r5s4 6r6s3-4r5s4+7r4s5 6r6s3-13r5s4-r4s5 8r6s3-5r5s4+r4s5+5r3s6 8r6s3-13r5s4+r4s5-5r3s6

What is the difference of the polynomials? 8r6s3-9r5s4+3r4s5-2r4s5-5r3s6-4r5s4 6r6s3-4r5s4+7r4s5 6r6s3-13r5s4-r4s5 8r6s3-5r5s4+r4s5+5r3s6 8r6s3-13r5s4+r4s5-5r3s6

Accepted Solution

A:
The difference between the polynomials (8r⁶s³ - 9r⁵s⁴+3r⁴s⁵) - (2r⁴s⁵ -5r³s⁶ - 4r⁵s⁴) is (8r⁶s³ - 5r⁵s⁴ + r⁴s⁵  + 5r³s⁶).What are polynomial?Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.The difference between the two polynomials can be solved as,[tex](8r^6s^3 - 9r^5s^4+3r^4s^5) - (2r^4s^5 -5r^3s^6 - 4r^5s^4) \\\\= 8r^6s^3 - 9r^5s^4+3r^4s^5 - 2r^4s^5 +5r^3s^6 + 4r^5s^4\\\\= 8r^6s^3 - 5r^5s^4+r^4s^5 +5r^3s^6[/tex]Thus, the difference between the polynomials (8r⁶s³ - 9r⁵s⁴+3r⁴s⁵) - (2r⁴s⁵ -5r³s⁶ - 4r⁵s⁴) is (8r⁶s³ - 5r⁵s⁴ + r⁴s⁵  + 5r³s⁶).Learn more about Polynomial: What is the difference of the polynomials? 8r6s3-9r5s4+3r4s5-2r4s5-5r3s6-4r5s4 6r6s3-4r5s4+7r4s5 6r6s3-13r5s4-r4s5 8r6s3-5r5s4+r4s5+5r3s6 8r6s3-13r5s4+r4s5-5r3s6 65105ac20a846.webp