Powers and Roots – Simplify an expression with powers – Exercise 5591

Exercise

Simplify the expression:

24a15b20+16a19b2220a24b1724a^{15}b^{20}+16a^{19}b^{22}-20a^{24}b^{17}

Final Answer

4a15b17(6b3+4a4b55a9)4a^{15}b^{17}(6b^3+4a^4b^5-5a^9)

Solution

Using Powers and Roots rules we get:

24a15b20+16a19b2220a24b17=24a^{15}b^{20}+16a^{19}b^{22}-20a^{24}b^{17}=

=4a15b17(6b3+4a4b55a9)=4a^{15}b^{17}(6b^3+4a^4b^5-5a^9)

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