Advertisements
Advertisements
प्रश्न
a3 + 8b3 + 64c3 - 24abc
Advertisements
उत्तर
a3 + 8b3 + 64c3 - 24abc
= (a)3 + (2b)3 + (4c)3 - 3 × a × 2b × 4c
= (a + 2b + 4c)(a2 + (2b)2 + (4c)2 - a × 2b - 2b × 4c - 4c × a) [∵ a3 + b3 + c3 - 3abc = (a + b + c)(a2 + b2 + c2 - ab - bc - ca)]
= (a + 2b + 4c)(a2 + 4b2 +16c2 - 2ab - 8bc - 4ac)
∴ a3 + 8b3 + 64c3 - 24abc = (a + 2b + 4c)(a2 + 4b2 +16c2 - 2ab - 8bc - 4ac)
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 the following expressions:
`x^3/216 - 8y^3`
Factorize x3 + 8y3 + 6x2 y +12xy2
`(x/2 + y + z/3)^3 + (x/2 + (2y)/3 + z)^3 + (-(5x)/6 - y/3 - (4z)/3)^3`
Multiply: x2 + 4y2 + z3 + 2xy + xz − 2yz by x − 2y − z
Write the number of the term of the following polynomial.
ax – by + y x z
Divide: 4x3 - 2x2 by - x
Divide: m3 − 4m2 + m + 6 by m2 − m − 2
Write the coefficient of x2 and x in the following polynomials
πx2 – x + 2
A triangle is made up of 2 red sticks and 1 blue sticks 
. The length of a red stick is given by r and that of a blue stick is given by b. Using this information, write an expression for the total length of sticks in the pattern given below:
