Question

Without actually calculating the cubes, find the value of 75³-25³-50⁵





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Answer 1

Answer:

(a-b)3 = a3-b3-3ab(a-b)

From this formula we can say that

a3-b3= (a-b)3 +3ab(a-b)

25^3 -75^3+50^3 can be written as 25^3 -(75^3-50^3)

= 253-((75-50)3+3(75)(50)(75-50)

=253-253-3(75)(50)(25)

= – 3(75)(50)(25)

= – 3(25)(3)(25)(2)(25)

= – (3*3*2)(25)3

= – (18)(15625)

= – 281250

So the value of 25^3 -75^3+50^3 is – 281250

I hope that this solution would help you.

Answer 2

Answer:

here is the answer

Step-by-step explanation:

QUESTION = 75³-25³-50⁵

SOLUTION = 4,21,875 - 15,625 - 312,500,000

= 45,67,890 ANSWER

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