Question

# Evaluate:$$(a^{2}+b^{2})(a+b)(a-b)$$, using the result of $$(a+b)(a-b)$$

Solution

## $$(a^{2}+b^{2})(a+b)(a-b)$$ We know that $$(a+b)(a-b)=a^2-b^2$$So,Substituting the result we get $$=(a^{2}+b^{2})$$ $$(a^{2}-b^{2})$$ It can be written as $$=a^{2}(a^{2}-b^{2})$$ + $$b^{2}(a^{2}-b^{2})$$ So we get  $$=a^{4}-a^{2}b^{2}+a^{2}b^{2}-b^{4}$$ $$=a^{4}-b^{4}$$Mathematics

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