Answer :
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.