Math  /  Algebra

QuestionCalculate the product of (a2b2)(a^{2} b - 2) and (5ab2)(5 - a b^{2}).

Studdy Solution
Rearrange the terms to write the expression in standard form, which is generally from highest degree to lowest degree.
=a3b3+5a2b+2ab210= - a^{3} b^{3} +5 a^{2} b +2 a b^{2} -10So, the product of the two expressions (a2b2)(a^{2} b-2) and (5ab2)(5-a b^{2}) is a3b3+5a2b+2ab210- a^{3} b^{3} +5 a^{2} b +2 a b^{2} -10.

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