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Which shows 552 − 452 being evaluated using the difference of squares method?

552 − 452 = (3025 + 2025)(3025 − 2025) = 5,050,000
552 − 452 = 3025 − 2025 = 1,000
552 − 452 = (55 + 45)(55 − 45) = (100)(10) = 1,000
552 − 452 = (55 − 45)2 = 102 = 100

Respuesta :

The correct answer for the question that is being presented above is this one: "552 − 452 = (55 + 45)(55 − 45) = (100)(10) = 1,000." The equation that shows 552 − 452 being evaluated using the difference of squares method is this 552 − 452 = (55 + 45)(55 − 45) = (100)(10) = 1,000

Answer:  Third Option is correct.

Step-by-step explanation:

Since we have given that

[tex]55^2-45^2[/tex]

We need to evaluate using the difference of squares method:

So, here,  a = 55

b = 45

so, it becomes,

[tex]a^2-b^2=(a+b)(a-b)\\\\55^2-45^2=(55-45)(55+45)\\\\55^2-45^2=10\times 100\\\\55^2-45^2=1000[/tex]

Hence, Third Option is correct.