Question

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

Answer 1

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,

$(8r^6s^3 - 9r^5s^4+3r^4s^5) - (2r^4s^5 -5r^3s^6 - 4r^5s^4) \\\\= 8r^6s^3 - 9r^5s^4+3r^4s^5 - 2r^4s^5 +5r^3s^6 + 4r^5s^4\\\\= 8r^6s^3 - 5r^5s^4+r^4s^5 +5r^3s^6$

Thus, the difference between the polynomials (8r⁶s³ - 9r⁵s⁴+3r⁴s⁵) - (2r⁴s⁵ -5r³s⁶ - 4r⁵s⁴) is (8r⁶s³ - 5r⁵s⁴ + r⁴s⁵  + 5r³s⁶).

Learn more about Polynomial:

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