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Find the product. Simplify your answer.\newline(4r+3)(3r+4)(4r + 3)(3r + 4)

Full solution

Q. Find the product. Simplify your answer.\newline(4r+3)(3r+4)(4r + 3)(3r + 4)
  1. Perform Multiplication: Now, we will perform the multiplication for each term.\newline4r(3r)=12r24r(3r) = 12r^2 (First)\newline4r(4)=16r4r(4) = 16r (Outer)\newline3(3r)=9r3(3r) = 9r (Inner)\newline3(4)=123(4) = 12 (Last)
  2. Add Terms Together: Next, we will add all the terms together. 12r2+16r+9r+1212r^2 + 16r + 9r + 12
  3. Combine Like Terms: Combine the like terms 16r16r and 9r9r to simplify the expression.12r2+(16r+9r)+1212r^2 + (16r + 9r) + 12=12r2+25r+12= 12r^2 + 25r + 12

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