Without actually calculating cubes find the value of25^3 -75^3+50^3. Please answer how to do it??
Without actually calculating cubes find the value of25^3 -75^3+50^3.
Please answer how to do it??
Cherry , 7 Years ago
Grade 9
9 grade maths> Without actually calculating cubes find t...
1 Answers
Om
Dear student,
(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.
Raga datta
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