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Find the product. Simplify your answer.\newline(4g+1)(3g1)(4g + 1)(3g - 1)

Full solution

Q. Find the product. Simplify your answer.\newline(4g+1)(3g1)(4g + 1)(3g - 1)
  1. Perform Multiplication: Now, we will perform the multiplication for each pair of terms.\newline4g×3g=12g24g \times 3g = 12g^2\newline4g×(1)=4g4g \times (-1) = -4g\newline1×3g=3g1 \times 3g = 3g\newline1×(1)=11 \times (-1) = -1
  2. Combine Like Terms: Next, we will combine the like terms from the multiplication results. 12g2+(4g)+3g+(1)12g^2 + (-4g) + 3g + (-1) 12g24g+3g112g^2 - 4g + 3g - 1
  3. Simplify Expression: Finally, we will simplify the expression by combining the like terms 4g-4g and 3g3g.12g24g+3g1=12g21g112g^2 - 4g + 3g - 1 = 12g^2 - 1g - 1

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