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

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Full solution

Q. Find the product. Simplify your answer.\newline(3p−4)(3p+4)(3p - 4)(3p + 4)
  1. Identify values: Identify the values of aa and bb. Compare (3p−4)(3p+4)(3p - 4)(3p + 4) with (a−b)(a+b)(a - b)(a + b). a=3pa = 3p b=4b = 4
  2. Apply formula: Apply the difference of squares formula to expand (3p−4)(3p+4)(3p - 4)(3p + 4).\newline(a−b)(a+b)=a2−b2(a - b)(a + b) = a^2 - b^2\newline(3p−4)(3p+4)=(3p)2−(4)2(3p - 4)(3p + 4) = (3p)^2 - (4)^2
  3. Simplify expression: Simplify (3p)2−(4)2.((3p)^2 - (4)^2.(\newline\$(3p)^2 - (4)^2(\newline\)= (3p \times 3p) - (4 \times 4)(\newline\)= 9p^2 - 16\)

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