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Question

Evaluate:
$$(a^{4}+b^{4})$$ $$(a^{2}+b^{2})$$


Solution

$$(a^{4}+b^{4})$$ $$(a^{2}+b^{2})$$
Substituting the result of = $$a^{4}(a^{4}+b^{4})+b^{4}(b^{4}+b^{4})$$
By further calculation = $$ a^{8}-a^{4}b^{4}+a^{4}b^{4}-b^{8}$$
$$=a^{8}-b^{8}$$

Mathematics

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