Problem 34
Question
Find each product. $$(2 x+5)(2 x-5)$$
Step-by-Step Solution
Verified Answer
The product is \(4x^2 - 25\).
1Step 1: Identify the formula
Identify the Difference of Squares formula. For any two terms 'a' and 'b', the product \((a + b)(a - b) = a^2 - b^2\). Here, 'a' is '2x' and 'b' is '5'.
2Step 2: Apply the formula
Apply the formula to the given problem. In \((2x+5)(2x-5)\), 'a' is '2x' and 'b' is '5'. So, according to the formula,\((2x + 5)(2x - 5) = (2x)^2 - (5)^2\).
3Step 3: Simplify the multiplication
Now simplify the problem by performing the multiplication. It results in \(4x^2 - 25\).
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Problem 34
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