Factor the algebraic expression 9x^2 - 49y^2 completely.
Answer and explanation
Correct answer: A. (3x - 7y)(3x + 7y)
- Step 1: Identify the difference of squares form: a^2 - b^2 = (a - b)(a + b). Step 2. Here a = 3x and b = 7y, yielding (3x - 7y)(3x + 7y). Answer: (3x - 7y)(3x + 7y). Why not the others: (3x - 7y)^2 introduces an unwanted middle term -42xy; the other options do not equal the binomial.
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