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Find the product. Simplify your answer.\newline(g−3)(g−4)(g - 3)(g - 4)

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Full solution

Q. Find the product. Simplify your answer.\newline(g−3)(g−4)(g - 3)(g - 4)
  1. Apply Distributive Property: We need to apply the distributive property (also known as the FOIL method for binomials) to find the product of (g−3)(g - 3) and (g−4)(g - 4). This involves multiplying each term in the first binomial by each term in the second binomial.
  2. Multiply First Terms: First, multiply the first terms of each binomial: g×g=g2g \times g = g^2.
  3. Multiply Outer Terms: Next, multiply the outer terms: g×(−4)=−4gg \times (-4) = -4g.
  4. Multiply Inner Terms: Then, multiply the inner terms: (−3)×g=−3g(-3) \times g = -3g.
  5. Multiply Last Terms: Finally, multiply the last terms of each binomial: (−3)×(−4)=12(-3) \times (-4) = 12.
  6. Combine Products: Now, combine all the products: g2−4g−3g+12g^2 - 4g - 3g + 12.
  7. Combine Like Terms: Combine like terms: g2−4g−3gg^2 - 4g - 3g is g2−7gg^2 - 7g, so the expression simplifies to g2−7g+12g^2 - 7g + 12.

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