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Subjects>Math>Algebra

How do you factor of a4 plus b4-7a2b2?

Anonymous

∙ 12y ago

Updated: 4/28/2022

Usually simple substitutions enable such expressions to be seen as quadratic expressions.

The substitutions x = a2 and y = b2 give

a4 + b4 - 7a2b2 = x2 - 7xy + y2 which does not have any rational factors.

Consequently, the quartic in a and b does not have rational factors.

Wiki User

∙ 12y ago

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