Multiply the binomials: $( 4a^{6}-5b^{6})( 3a^{6}-2b^{6} )$.

Given: Binomials: $( 4a^{6}-5b^{6})$ and $( 3a^{6}-2b^{6} )$.

To do: To multiply the binomials $( 4a^{6}-5b^{6})$ and $( 3a^{6}-2b^{6} )$.

Solution:

 Given binomials are $( 4a^{6}-5b^{6})$ and $( 3a^{6}-2b^{6} )$

$\Rightarrow ( 4a^{6}-5b^{6})( 3a^{6}-2b^{6} )=4a^6\times3a^6-4a^6\times( -2b^6)-5b^6\times3a^6-5b^6\times( -2b^6)$

$\Rightarrow ( 4a^{6}-5b^{6})( 3a^{6}-2b^{6} )=12a^{12}+8a^6b^6-15a^6b^6+10b^{12}$

$\Rightarrow ( 4a^{6}-5b^{6})( 3a^{6}-2b^{6} )=12a^{12}-7a^6b^6+10b^{12}$

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Updated on: 10-Oct-2022

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