Q. Factor the expression completely.x5y5+xy4Answer:
Identify GCF: Identify the greatest common factor (GCF) of the terms in the expression x5y5 and xy4. The GCF is xy4 because it is the highest degree of x and y that divides both terms.
Factor out GCF: Factor out the GCF from the expression.x5y5+xy4=xy4(x4y+1)We divide each term by xy4 to find the remaining factors.
Divide terms: Check the factored expression to ensure that when the GCF is distributed back into the parentheses, we get the original expression.xy4(x4y+1)=xy4×x4y+xy4×1=x5y5+xy4The original expression is obtained, so there is no math error.
More problems from Find derivatives of using multiple formulae