Sixty nine no plz urgently

asked May 25, 2021 174k views

1 vote

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3 votes

$:\implies\sf\:(4a^3)/(a^4+x^4)+(8a^7)/(x^8-a^8)$

$:\implies\sf\:(4a^3(x^8-a^8)+8a^7(a^4+x^4))/((a^4+x^4)(x^4-a^4)(x^4+a^4))$

$:\implies\sf\:(4a^3x^8-4a^(11)+8a^(11)+8a^7x^4)/((a^4+x^4)^2(x^4-a^4))$

$:\implies\sf\:(4a^3x^8+4a^(11)+8a^7x^4)/((a^4+x^4)^2(x^4-a^4))$

$:\implies\sf\:(4a^3(a^8+2a^4x^4+x^8))/((a^4+x^4)^2(x^4-a^4))$

$:\implies\sf\:\frac{4a^3\tt{(a^4+x^4)^2}}{{\tt(a^4+x^4)^2}(x^4-a^4)}$

$:\implies\boxed{\bf{\purple{(4a^3)/((x^4-a^4))}}}$

Mark Toman answered May 31, 2021

5.6k points

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