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Factor the expression completely.

x^(4)y^(3)+x^(2)y^(3)
Answer:

Factor the expression completely.\newlinex4y3+x2y3 x^{4} y^{3}+x^{2} y^{3} \newlineAnswer:

Full solution

Q. Factor the expression completely.\newlinex4y3+x2y3 x^{4} y^{3}+x^{2} y^{3} \newlineAnswer:
  1. Identify Factors: Identify common factors in both terms of the expression x4y3+x2y3x^{4}y^{3} + x^{2}y^{3}. Both terms have x2x^{2} and y3y^{3} as common factors.
  2. Factor Out Common Factors: Factor out the common factors from both terms.\newlineThe expression becomes (x2y3)(x2+1)(x^{2}y^{3})(x^{2} + 1).
  3. Check Further Factoring: Check if the remaining terms inside the parentheses can be factored further.\newlineThe term x2+1x^{2} + 1 cannot be factored further over the real numbers.
  4. Write Final Form: Write down the final factored form of the expression.\newlineThe completely factored form of the expression is (x2y3)(x2+1)(x^{2}y^{3})(x^{2} + 1).

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