Advertisements
Advertisements
प्रश्न
8x3 + 27y3 - 216z3 + 108xyz
Advertisements
उत्तर
= (2x)3 + (3y )3 + (-6z )3 - 3(2x)(3y )(-6z )
= (2x + 3y + (-6z ))((2x)2 + (3y )2 + (-6z )2 - 2x × 3y - 3y (-6z ) - (-6z )2x)
= (2x + 3y - 6z )(4x2 + 9 y2 + 36z2 - 6xy +18 yz +12zx)
∴ 8x3 + 27 y3 - 216z3 +108xyz = (2x + 3y - 6z )(4x2 + 9 y2 + 36z2 - 6xy +18 yz +12zx)
APPEARS IN
संबंधित प्रश्न
Factorize the following expressions:
32a3 + 108b3
Factorize 8a3 – 27b3 – 36a2b + 54ab2
125 + 8x3 - 27 y3 + 90xy
If x + y = 4 and xy = 2, find the value of x2 + y2
Factorize: x4 + x2 + 25.
Mark the correct alternative in each of the following: The factors of a2 − 1 − 2x − x2 are
Evaluate: (3c - 5d)(4c - 6d)
Evaluate:
(i) (a + b)(a - b)
(ii) (a2 + b2)(a + b)(a - b); using the result of (i).
(iii) (a4 + b4)(a2 + b2)(a + b)(a - b); using the result of (ii).
Divide: 10x3y - 9xy2 - 4x2y2 by xy
The value of 3x2 – 5x + 3 when x = 1 is ______.
