Advertisements
Advertisements
Question
(2x - 3y)3 + (4z - 2x)3 + (3y - 4z )3
Advertisements
Solution
Let 2x - 3y = a, 4z - 2x = b, 3y - 4z = c
∴ a + b + c = 2x - 3y + 4z - 2x + 3y - 4z = c
∵ a + b + c = 0 ∴a3 + b3 + c3 = 3abc
∴ (2x - 3y)3 + (4z - 2x)3 + (3y - 4z )3 = 3(2x - 3y )(4z - 2x)(3y - 4z)
APPEARS IN
RELATED QUESTIONS
Get the algebraic expression in the following case using variables, constants and arithmetic operations.
One-half of the sum of numbers x and y.
Factorize xy9 - yx9
Factorize the following expressions:
10x4y – 10xy4
Factorize `8/27 x^3 + 1 + 4/3 x^2 + 2x`
Evaluate:
(i) (a + b)(a - b)
(ii) (a2 + b2)(a + b)(a - b); using the result of (i).
(iii) (a4 + b4)(a2 + b2)(a + b)(a - b); using the result of (ii).
Multiply: (3x - 5y + 2)(5x - 4y - 3)
Solve the following equation.
3y + 4 = 5y − 6
Which of the following expressions has the value 37?
Give an algebraic equation for the following statement:
“The difference between the area and perimeter of a rectangle is 20”.
In the given figure, the length of a green side is given by g and that of the red side is given by p.
Write an expression for the following pattern. Also write an expression if 100 such shapes are joined together.
