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Which will result in a difference of squares?

a.(7+4)(7−4)
b.(−7+4)(4−7)
c.(−7+4)(−7−4)
d.(−7+4)(−7+4)

User Oodavid
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1 Answer

4 votes

Final answer:

The expression that results in a difference of squares is (7+4)(7-4), which becomes 49-16 when applied to the difference of squares formula.

Step-by-step explanation:

The student is asking which expression results in a difference of squares. A difference of squares takes form when you have two terms being multiplied, where each term is a square and they are subtracted from each other, like (a+b)(a-b) which equals a2-b2.

The correct answer is a. (7+4)(7-4) because when you apply the difference of squares formula, you get 72 - 42 which is 49 - 16.

So, the pair of expressions that fits the form of the difference of squares is the first one, where 7 and 4 are being squared and subtracted.

User Batuman
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