What is the factorization of the expression below?16x2 - 49A.(4x - 7)(4x - 7)B.(8x + 7)(2x - 7)C.(8x - 7)(2x - 7)D.(4x + 7)(4x - 7)SUBMITarrow_backPREVIOUS
Question
Solution
The expression 16x^2 - 49 is a difference of squares, which can be factored as follows:
Step 1: Identify the squares. In this case, 16x^2 is (4x)^2 and 49 is 7^2.
Step 2: Apply the difference of squares formula, which states that a^2 - b^2 = (a - b)(a + b).
So, 16x^2 - 49 = (4x)^2 - 7^2 = (4x - 7)(4x + 7).
Therefore, the correct answer is D. (4x + 7)(4x - 7).
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