Advertisements
Advertisements
प्रश्न
Evaluate: (a2 + b2 + c2 - ab - bc - ca)(a + b + c)
Advertisements
उत्तर
(a2 + b2 + c2 - ab - bc - ca)(a + b + c)
= a (a2 + b2 + c2 - ab - bc - ca) + b (a2 + b2 + c2 - ab - bc - ca) + c (a2 + b2 + c2 - ab - bc - ca)
= a3 + ab2 + ac2 - a2b - abc - ca2 +a2b + b3 + bc2 - ab2 - b2c - abc + a2c + b2c + c3 - abc - bc2 - c2a
= a3 + b3 + c3 -a2b + a2b - ca2 + a2c + bc2 - bc2 - ab2 + ab2 - abc - abc - abc + ac2 - ac2 + b2c - b2c
= a3 + b3 + c3 - 3abc
APPEARS IN
संबंधित प्रश्न
Get the algebraic expression in the following case using variables, constants and arithmetic operations.
One-fourth of the product of numbers p and q.
Factorize `[x^2 + 1/x^2] - 4[x + 1/x] + 6`
Factorize `x^2 + 6sqrt2x + 10`
Factorize the following expressions:
( x + 2)3 + ( x - 2)3
Factorize 8x3 + 27 y3 + 36x2 y + 54xy2
The factors of x4 + x2 + 25 are
Evaluate: (4m - 2)(m2 + 5m - 6)
Multiply: (2x - 3y)(2x + 3y)
Express the following as an algebraic expression:
The product of 12, x, y and z minus the product of 5, m and n.
A school has a rectangular playground with length x and breadth y and a square lawn with side x as shown in the figure given below. What is the total perimeter of both of them combined together?
