Advertisements
Advertisements
प्रश्न
(a – 3b)3 + (3b – c)3 + (c – a)3
Advertisements
उत्तर
Let (a - 3b) = x, (3b - c) = y, (c - a ) = z
x + y + z = a - 3b + 3b - c + c - a = 0
∵ x + y + z = 0 ∴x3 + y3 + z3 = 3xyz
∴(a - 3b)3 + (3b - c)3 + (c - a)3 = 3(a - 3b)(3b - c)(c - a)
APPEARS IN
संबंधित प्रश्न
Factorize the following expressions:
54x6y + 2x3y4
Factorize the following expressions:
a3 + b3 + a + b
Simplify : \[\frac{1 . 2 \times 1 . 2 \times 1 . 2 - 0 . 2 \times 0 . 2 \times 0 . 2}{1 . 2 \times 1 . 2 + 1 . 2 \times 0 . 2 + 0 . 2 \times 0 . 2}\]
Write the value of 483 − 303 − 183.
Evaluate: (3c - 5d)(4c - 6d)
Divide:
n2 − 2n + 1 by n − 1
Divide: m3 − 4m2 + m + 6 by m2 − m − 2
If x = 2 and y = 3, then find the value of the following expressions
2x – 3y
An equation is true for all values of its variables.
Express the following properties with variables x, y and z.
Commutative property of addition
