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Start learning 50% faster. Sign in nowWe know the identity (a + b + c)2 = a2 + b2 + c2 + 2ab + 2ac + 2bc (4)2 = 8 + 2(xy + yz + zx) (xy + yz + zx) = 8/2 = 4 a3 + b3 + c3 = (a + b + c) (a2 + b2 + c2 – ab – bc – ca) + 3abc So, x3 + y3 + z3 = 4(8 – (4)) + 3(6) = 16 + 18 = 34
If a + b = 56 and (a – b)² = 496, find the value of the product of a and b.
If (a + b + c) = 18 and (ab + bc + ca) = 100, then find the value of (a² + b² + c²).
If (a + b + c) = 9, find (a – 4)3 + (b – 2)3 + ( c – 3)3 – 3(a – 4 ) (b – 2 ) (c &n...
A solid metallic sphere of radius 15 cm is melted and recast into spherical balls of radius 3 cm each. What is the ratio of the surface area of the orig...
A man running at the speed of 6 kmph was over taken by the train moving with the speed of 78 kmph in 20 seconds. Find the length of train.
