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Factor the expression completely.

x^(2)y^(2)+x^(4)y^(5)
Answer:

Factor the expression completely.\newlinex2y2+x4y5 x^{2} y^{2}+x^{4} y^{5} \newlineAnswer:

Full solution

Q. Factor the expression completely.\newlinex2y2+x4y5 x^{2} y^{2}+x^{4} y^{5} \newlineAnswer:
  1. Identify Factors: Identify the common factors in both terms of the expression x2y2+x4y5x^{2}y^{2}+x^{4}y^{5}. Both terms have x2x^{2} and y2y^{2} as common factors.
  2. Factor Out Common Factors: Factor out the common factors from the expression. x2y2(1+x2y3)x^{2}y^{2}(1 + x^{2}y^{3})
  3. Check for Further Factoring: Check if the remaining expression inside the parentheses can be factored further.\newlineThe expression 1+x2y31 + x^{2}y^{3} cannot be factored further as it does not have common factors or special polynomial forms.
  4. Write Completely Factored Expression: Write down the completely factored expression.\newlineThe completely factored expression is x2y2(1+x2y3)x^{2}y^{2}(1 + x^{2}y^{3}).

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