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
Get the algebraic expression in the following case using variables, constants and arithmetic operations.
Product of numbers y and z subtracted from 10.
Factorize x4 + x2 y2 + y4
What are the possible expressions for the dimensions of the cuboid whose volume is 3x2 - 12x.
Mark the correct alternative in each of the following: The factors of a2 − 1 − 2x − x2 are
Write the coefficient of x2 and x in the following polynomials
πx2 – x + 2
Complete the table.
| × | 2x2 | −2xy | x4y3 | 2xyz | (___)xz2 |
| x4 | |||||
| (___) | 4x5y4 | ||||
| −x2y | |||||
| 2y2z | −10xy2z3 | ||||
| −3xyz | |||||
| (___) | −14xyz2 |
If x = 2 and y = 3, then find the value of the following expressions
2x – 3y
The value of 3x2 – 5x + 3 when x = 1 is ______.
A student wrote an algebraic expression for “5 less than a number n divided by 3” as `n/3 - 5`. What error did the student make?
Express the following properties with variables x, y and z.
Associative property of multiplication
