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
Get the algebraic expression in the following case using variables, constants and arithmetic operations.
Sum of numbers a and b subtracted from their product.
Factorize the following expressions:
32a3 + 108b3
Factorize the following expressions:
x4y4 - xy
If (x + y)3 − (x − y)3 − 6y(x2 − y2) = ky2, then k =
Write the number of the term of the following polynomial.
ax ÷ 4 – 7
Multiply: (6x - 2y)(3x - y)
The value of 7a – 4b when a = 3, b = 2 is
–b – 0 is equal to ______.
Shiv works in a mall and gets paid ₹ 50 per hour. Last week he worked for 7 hours and this week he will work for x hours. Write an algebraic expression for the money paid to him for both the weeks.
Which of the following is an example of a monomial?
