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Use the box method to distribute and simplify (3x-4)(3x+4). Drag and drop the terms to the correct locations of the table. (3x-4)(3x+4)

Use the box method to distribute and simplify (3x−4)(3x+4) (3 x-4)(3 x+4) . Drag and drop the terms to the correct locations of the table.\newline(3x−4)(3x+4) (3 x-4)(3 x+4)

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Full solution

Q. Use the box method to distribute and simplify (3x−4)(3x+4) (3 x-4)(3 x+4) . Drag and drop the terms to the correct locations of the table.\newline(3x−4)(3x+4) (3 x-4)(3 x+4)
  1. Draw Box Method: First, draw a two-by-two box to set up the box method.
  2. Write Terms: Write (3x−4)(3x-4) on the top of the box and (3x+4)(3x+4) on the side of the box.
  3. Multiply Top Left: Multiply the terms in the top left box: 3x×3x=9x23x \times 3x = 9x^2.
  4. Multiply Top Right: Multiply the terms in the top right box: 3x×4=12x3x \times 4 = 12x.
  5. Multiply Bottom Left: Multiply the terms in the bottom left box: −4×3x=−12x-4 \times 3x = -12x.
  6. Multiply Bottom Right: Multiply the terms in the bottom right box: −4×4=−16-4 \times 4 = -16.
  7. Add Terms: Add up all the terms from the box: 9x2+12x−12x−169x^2 + 12x - 12x - 16.
  8. Combine Like Terms: Combine like terms: 9x2+(12x−12x)−16=9x2−169x^2 + (12x - 12x) - 16 = 9x^2 - 16.

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