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
Factorize `x^2 + 6sqrt2x + 10`
Factorize `2x^2 - 5/6x + 1/12`
Simplify `(155 xx 155 xx 155 - 55 xx 55 xx 55)/(155 xx 155 + 155 xx 55 + 55 xx 55)`
If x + y = 4 and xy = 2, find the value of x2 + y2
Find the value of the following expression: 81x2 + 16y2 − 72xy, when \[x = \frac{2}{3}\] and \[y = \frac{3}{4}\]
27x3 − y3 − z3 − 9xyz
Evaluate: (4x2 - 4x + 1)(2x3 - 3x2 + 2)
Divide: 8x + 24 by 4
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.
Commutative property of addition
