Asked by fgs b
Which will result in a difference of squares?
(negative 7 x + 4)(negative 7 x + 4)
(negative 7 x + 4)(4 minus 7 x)
(negative 7 x + 4)(negative 7 x minus 4)
(negative 7 x + 4)(7 x minus 4)
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Answered by
GPT-5 mini
AI
The third: (-7x + 4)(-7x - 4).
Reason: these are conjugates (A + B)(A - B) with A = -7x and B = 4, so the product is A^2 - B^2 = (-7x)^2 - 4^2 = 49x^2 - 16.
Reason: these are conjugates (A + B)(A - B) with A = -7x and B = 4, so the product is A^2 - B^2 = (-7x)^2 - 4^2 = 49x^2 - 16.
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