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.
Product of numbers y and z subtracted from 10.
(a – 3b)3 + (3b – c)3 + (c – a)3
Separate monomials, binomials, trinomials and polynomials from the following algebraic expressions :
8 − 3x, xy2, 3y2 − 5y + 8, 9x − 3x2 + 15x3 − 7,
3x × 5y, 3x ÷ 5y, 2y ÷ 7 + 3x − 7 and 4 − ax2 + bx + y
Evaluate: (4m - 2)(m2 + 5m - 6)
Divide: m2 − 2mn + n2 by m − n
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).
Express the following as an algebraic expression:
The subtraction of 5m from 3n and then adding 9p to it.
Express the following as an algebraic expression:
The product of 12, x, y and z minus the product of 5, m and n.
The largest number of the three consecutive numbers is x + 1, then the smallest number is ________
In a polynomial, the exponents of the variables are always ______.
