Simplify. (2m + 5)^2 – (2m – 5)^2 = ?
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Answer:
40m is the answer
Step-by-step explanation:
(2m + 5)^2 – (2m – 5)^2
= [(2m+5)+(2m-5)][(2m+5)-(2m-5)]
= (4m+5-5)(2m-2m+10)
= 4m(10)
= 40m is the answer
The identity used above is
a^2-b^2=(a+b)(a-b)
Here a = (2m+5) ; b = (2m-5)
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