Advertisements
Advertisements
प्रश्न
Factorize 125x3 - 27 y3 - 225x2 y +135xy2
Advertisements
उत्तर
125x3 - 27 y3 - 225x2 y +135xy2
= (5x)3 - (3y )3 - 3 × (5x)2 ´ 3y + 3 × (5x)(3y )2
= (5x - 3y )3 [∵ a3 - b3 - 3a2b + 3ab2 = (a - b)3]
= (5x - 3y )(5x - 3y )(5x - 3y )
∴ 125x3 - 27 y3 - 225x2 y +135xy2 = (5x - 3y)(5x - 3y )(5x - 3y )
APPEARS IN
संबंधित प्रश्न
Factorize x2 - y2 - 4xz + 4z2
8x3 + 27y3 - 216z3 + 108xyz
Write the value of 253 − 753 + 503.
Evaluate: (a2 + b2 + c2 - ab - bc - ca)(a + b + c)
Multiply: (2x - 3y)(2x + 3y)
Divide: 4a2 - a by - a
Divide: 9x2 - 24xy + 16y2 by 3x- 4y
Express the following as an algebraic expression:
The product of 12, x, y and z minus the product of 5, m and n.
If x = 2 and y = 3, then find the value of the following expressions
x + y
Express the following properties with variables x, y and z.
Distributive property of multiplication over addition
