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hram777 [196]
4 years ago
11

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

Mathematics
1 answer:
Evgen [1.6K]4 years ago
5 0

Answer:

8r⁶s³ - 5r⁵s⁴ + r⁴s⁵ + 5r³s⁶

Step-by-step 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

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