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Use the FOIL method to find the product.

(5z-u)(2z+4u)

Use the FOIL method to find the product.\newline(5zu)(2z+4u) (5 z-u)(2 z+4 u)

Full solution

Q. Use the FOIL method to find the product.\newline(5zu)(2z+4u) (5 z-u)(2 z+4 u)
  1. Multiply First terms: First, multiply the First terms: 5z×2z=10z25z \times 2z = 10z^2.
  2. Multiply Outer terms: Next, multiply the Outer terms: 5z×4u=20zu5z \times 4u = 20zu.
  3. Multiply Inner terms: Then, multiply the Inner terms: u×2z=2uz-u \times 2z = -2uz (which is the same as 2zu-2zu).
  4. Multiply Last terms: Finally, multiply the Last terms: u×4u=4u2-u \times 4u = -4u^2.
  5. Add all products: Now, add all the products together: 10z2+20zu2zu4u210z^2 + 20zu - 2zu - 4u^2.
  6. Combine like terms: Combine like terms: 20zu2zu=18zu20zu - 2zu = 18zu. So, the simplified form is 10z2+18zu4u210z^2 + 18zu - 4u^2.

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