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Oxana [17]
3 years ago
13

Which expression is equivalent to 36x2 − 25? (18x)2 (−5)2 (18x)2 − (5)2 (6x)2 (−5)2 (6x)2 − (5)2

Mathematics
2 answers:
patriot [66]3 years ago
3 0
36x^2 -25 wan being difference of two squares bc. there are (6x)^2 -5^2 and this is equal using the difference of two squares formula (6x-5)(6x+5)

hope this will help you 
Setler [38]3 years ago
3 0

Note that

36=6^2,\\ 25=5^2

and

a^2\cdot b^2=(ab)^2

Then

36x^2 - 25=6^2\cdot x^2-5^2=(6x)^2-5^2.

Use the formula for difference of the squares:

a^2-b^2=(a-b)(a+b).

Thus,

36x^2 - 25=(6x)^2-5^2=(6x-5)(6x+5).

Answer: correct choice is D.

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