Advertisements
Advertisements
प्रश्न
Factorize 8x3 + 27 y3 + 36x2 y + 54xy2
उत्तर
8x3 + 27 y3 + 36x2 y + 54xy2
= (2x)3 + (3y)3 + 3 × (2x)2 × 3y + 3 × (2x)(3y )2
= (2x + 3y )3 [∵ a3 + b3 + 3a2b + 3ab2 = (a + b)3]
= (2x + 3y )(2x + 3y )(2x + 3y )
∴ 8x3 + 27 y3 + 36x2 y + 54xy2 = (2x + 3y )(2x + 3y )(2x + 3y )
APPEARS IN
संबंधित प्रश्न
Factorize `21x^2 - 2x + 1/21`
Factorize `9(2a - b)^2 - 4(2a - b) - 13`
Factorize the following expressions:
p3 + 27
Write the value of 253 − 753 + 503.
Write the value of \[\left( \frac{1}{2} \right)^3 + \left( \frac{1}{3} \right)^3 - \left( \frac{5}{6} \right)^3 .\]
Evaluate: (3x - 1)(4x3 - 2x2 + 6x - 3)
Divide: 4a2 - a by - a
Divide: 4a2 + 4a + 1 by 2a + 1
The value of 7a – 4b when a = 3, b = 2 is
A taxi service charges ₹ 8 per km and levies a fixed charge of ₹ 50. Write an algebraic expression for the above situation, if the taxi is hired for x km.
