Advertisements
Advertisements
प्रश्न
Factorize the following expressions:
32a3 + 108b3
Advertisements
उत्तर
32a3 +108b3
= 4(8a3 + 27b3)
= 4((2a)3 + (3b)3) [Using a3 + b3 = (a + b)(a2 - ab + b2)]
= 4 [(2a + 3b)((2a)2 - 2a x 3b + (3b)2)]
= 4(2a + 3b)(4a2 - 6ab + 9b2)
∴ 32a3 +108b3 = 4(2a + 3b)(4a2 - 6ab + 9b2 )
APPEARS IN
संबंधित प्रश्न
Get the algebraic expression in the following case using variables, constants and arithmetic operations.
One-fourth of the product of numbers p and q.
Factorize `21x^2 - 2x + 1/21`
Factorize the following expressions:
(a + b)3 – 8(a – b)3
Simplify `(173 xx 173 xx 173 xx 127 xx 127 xx 127)/(173 xx 173 xx 173 xx 127 xx 127 xx 127)`
Find the value of the following expression: 16x2 + 24x + 9, when \[x = \frac{7}{4}\]
The factors of x4 + x2 + 25 are
The area of a rectangle is 6x2 – 4xy – 10y2 square unit and its length is 2x + 2y unit. Find its breadth.
Divide: 6x2 - xy - 35y2 by 2x - 5y
In the expression 2πr, the algebraic variable is ______.
The total number of planets of Sun can be denoted by the variable n.
