Q. Factor the expression completely.xy5−x3y4Answer:
Identify GCF: Identify the greatest common factor (GCF) of the terms in the expression.The GCF of xy5 and x3y4 is xy4, since it is the highest power of x and y that divides both terms.
Factor out GCF: Factor out the GCF from each term in the expression.We write the expression as xy4(y−x2).
Check for further factoring: Check if the remaining expression inside the parentheses can be factored further. The expression y−x2 cannot be factored further over the integers, so the factoring process is complete.
Write final factored form: Write down the final factored form of the expression.The completely factored form of the expression is xy4(y−x2).
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