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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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