Advertisements
Advertisements
प्रश्न
Factorize 8x3 + 27 y3 + 36x2 y + 54xy2
Advertisements
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 64a3 +125b3 + 240a2b + 300ab2
`2sqrt2a^3 + 3sqrt3b^3 + c^3 - 3 sqrt6abc`
Find the value of the following expression: 64x2 + 81y2 + 144xy, when x = 11 and \[y = \frac{4}{3}\]
Multiply: x2 + 4y2 + z3 + 2xy + xz − 2yz by x − 2y − z
Write the number of the term of the following polynomial.
ax – by + y x z
Evaluate: (a2 + 2ab + b2)(a + b)
Divide: 8a2 + 4a - 60 by 2a - 5
Write the variables, constant and terms of the following expression
b + 2
If x = 2 and y = 3, then find the value of the following expressions
2x – 3y
Express the following properties with variables x, y and z.
Associative property of addition
