Question

9. Divide using the factorisation method (a^8-b^8)by(a^2+b^2)​

Answer 1

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$\frac{(a {}^{8} - b {}^{8} )}{a {}^{2} + b {}^{2} } \\ = \frac{(a {}^{4}) {}^{2} - (b {}^{4} ) {}^{2} }{a {}^{2} + b {}^{2} } \\ = \frac{(a {}^{4} - b {}^{4})(a {}^{4} + b {}^{4} ) }{a {}^{2} + b {}^{2} } \\ = \frac{(a {}^{2} + b {}^{2})(a {}^{2} - b {}^{2})(a {}^{4} + b {}^{4} ) }{a {}^{2} + b {}^{2} } \\ = (a + b)(a - b)(a {}^{4} + b {}^{4})$

Answer 2

Answer:

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