How do you long divide (x^4 + a^4) / (x^2 + a^2)x4+a4x2+a2?

1 Answer
Shwetank Mauria
Jan 24, 2017

Quotient is x^2-a^2x2−a2 and remainder is 2a^42a4

Explanation:

" "x^4+0x^3+0x^2+0x+a^4 x4+0x3+0x2+0x+a4
color(magenta)(x^2)(x^2+a^2) ->color(white)(X)ul(x^4+0x^3+a^2x^2) larr" Subtract"
" "0color(white)(XXX)-a^2x^2+0x+a^4
color(magenta)(-a^2)(x^2+a^2)->" "color(white)(XXX)ul(-a^2x^2-0x-a^4) larr" Subtract"
" "2a^4

Hence, quotient is x^2-a^2 and remainder is 2a^4

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