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Factor completely.

-48 yz^(4)+36 xy^(2)z^(3)
Answer:

Factor completely.\newline48yz4+36xy2z3 -48 y z^{4}+36 x y^{2} z^{3} \newlineAnswer:

Full solution

Q. Factor completely.\newline48yz4+36xy2z3 -48 y z^{4}+36 x y^{2} z^{3} \newlineAnswer:
  1. Identify GCF: Identify the greatest common factor (GCF) of the terms in the expression 48yz4-48 yz^{4} and 36xy2z336 xy^{2}z^{3}.\newlineThe GCF is the product of the smallest powers of common factors in the terms. Both terms have a factor of 1212, yy, and z3z^{3}.\newlineGCF = 12yz312yz^{3}
  2. Factor out GCF: Factor out the GCF from each term in the expression.\newline48yz4+36xy2z3=12yz3(4z)+12yz3(3xy)-48 yz^{4} + 36 xy^{2}z^{3} = 12yz^{3}(-4z) + 12yz^{3}(3xy)
  3. Combine factored terms: Combine the factored terms into a single expression. 12yz3(4z+3xy)12yz^{3}(-4z + 3xy)
  4. Check for factors: Check for any additional common factors or factorable expressions within the parentheses.\newlineThe terms inside the parentheses, 4z-4z and 3xy3xy, do not have any common factors, and the expression inside the parentheses is not factorable.

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