Evaluate
36\left(\left(4k^{2}+3\right)\left(k^{2}+1\right)\right)^{2}
Expand
576k^{8}+2016k^{6}+2628k^{4}+1512k^{2}+324
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36\left(16k^{8}+56k^{6}+73k^{4}+42k^{2}+9\right)
Square 4k^{4}+7k^{2}+3.
576k^{8}+2016k^{6}+2628k^{4}+1512k^{2}+324
Use the distributive property to multiply 36 by 16k^{8}+56k^{6}+73k^{4}+42k^{2}+9.
36\left(16k^{8}+56k^{6}+73k^{4}+42k^{2}+9\right)
Square 4k^{4}+7k^{2}+3.
576k^{8}+2016k^{6}+2628k^{4}+1512k^{2}+324
Use the distributive property to multiply 36 by 16k^{8}+56k^{6}+73k^{4}+42k^{2}+9.
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