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Find the product. Simplify your answer.\newline(a−2)(2a+3)(a - 2)(2a + 3)

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Full solution

Q. Find the product. Simplify your answer.\newline(a−2)(2a+3)(a - 2)(2a + 3)
  1. Perform Multiplication: Now, we perform the multiplication for each term.\newlinea(2a)=2a2a(2a) = 2a^2\newlinea(3)=3aa(3) = 3a\newline−2(2a)=−4a-2(2a) = -4a\newline−2(3)=−6-2(3) = -6
  2. Combine Like Terms: Next, we combine like terms to simplify the expression.\newline2a2+3a−4a−62a^2 + 3a - 4a - 6\newline2a2−1a−62a^2 - 1a - 6
  3. Final Simplified Product: We have now simplified the expression completely, and there are no like terms left to combine.\newlineThe final simplified product is 2a2−a−62a^2 - a - 6.

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