Advertisements
Advertisements
प्रश्न
Factorize the following expressions:
54x6y + 2x3y4
उत्तर
54x6 y + 2x3 y4
= 2x3 y (27x3 + y3)
= 2x3 y ((3x)3 + y3)
= 2x3 y (3x + y)((3x)2 - 3 x xy + y2) [ ∵ a3 + b3 = (a + b)(a2 - ab + b2)]
= 2x3 y (3x + y)(9x2 - 3xy + y2)
∴ 54x6 y + 2x3 y4 = 2x3 y (3x + y )(9x2 - 3xy + y2)
APPEARS IN
संबंधित प्रश्न
Factorize a2 + 2ab + b2 - c2
Factorize a2 + 4b2 - 4ab - 4c2
Factorize `x^2 + 2sqrt3x - 24`
(a – 3b)3 + (3b – c)3 + (c – a)3
`3sqrt3a^3 - b^3 - 5sqrt5c^3 - 3sqrt15abc`
Find the value of x3 + y3 − 12xy + 64, when x + y =−4
Write the value of 303 + 203 − 503.
Express the following as an algebraic expression:
The product of 12, x, y and z minus the product of 5, m and n.
Write the coefficient of x2 and x in the following polynomials
`4 + 2/5x^2 - 3x`
Write the variables, constant and terms of the following expression
18 + x – y
