Question

СРОЧНО!!!
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Answer 1

$(t^{10}+^m{10})^{2}-(t^{10}-m^{10})^{2}-t^{2}m^{2}=\\\\=(t^{10}+m^{10}-t^{10}+m^{10})(t^{10}+m^{10}+t^{10}-m^{10})-t^{2}m^{2}=\\\\=2m^{10}*2t^{10}-t^{2}m^{2}=4t^{10}m^{10}-t^{2}m^{2}=(2t^{5}m^{5})^{2} -(tm)^{2}=\\\\=(2t^{5}m^{5}-tm)(2t^{5}m^{5}+tm)=tm*(2t^{4}m^{4}-1)*tm*(2t^{4}m^{4}+1)=\\\\=t^{2}m^{2}(2t^{4}m^{4}-1)(2t^{4}m^{4}+1)=t^{2}m^{2}(4t^{8}m^{8}-1)\\\\Otvet:\\\\\boxed{1)t^{2}m^{2}(2t^{4}m^{4}-1)(2t^{4}m^{4}+1)}\\\\\boxed{2)t^{2}m^{2}(4t^{8}m^{8}-1)}$

$\boxed{3)(2t^{5}m^{5}-tm)(2t^{5}m^{5}+tm)}$