Advertisements
Advertisements
प्रश्न
If a + b + c = 0, then write the value of a3 + b3 + c3.
Advertisements
उत्तर
Recall the formula
` a^3 + b^3 +c^3 - 3abc = (a+b+c)(a^2 +b^2 +c^2 -ab-bc - ca)`
When (a + b + c) = 0, we have
`a^3 +b^3 +c^3 -3abc = (a^2 +b^2 +c^2 - ab - bc - ca)`
= 0
`a^3 +b^3 +c^3 - 3abc - 0`
⇒ `a^3 +b^3 +c^3 = 3abc`
APPEARS IN
संबंधित प्रश्न
Factorize: a (a + b)3 - 3a2b (a + b)
Factorize a2 + 2ab + b2 - c2
Factorize `7(x - 2y)^2 - 25(x - 2y) + 12`
Factorize a3 x3 - 3a2bx2 + 3ab2 x - b3
If (x + y)3 − (x − y)3 − 6y(x2 − y2) = ky2, then k =
Divide: 8x + 24 by 4
Divide: 35a3 + 3a2b - 2ab2 by 5a - b
Write in the form of an algebraic expression:
Perimeter (P) of a rectangle is two times the sum of its length (l) and its breadth (b).
The variable in the expression 16x – 7 is __________
If x = 2 and y = 3, then find the value of the following expressions
x + y
