Advertisements
Advertisements
Question
Factorize the following expressions:
`x^3/216 - 8y^3`
Solution
`= (x/6)^3 - (2y)^3`
`= (x/6 - 2y)((x/6)^2 + x/6 xx 2y + (2y)^2) [∵ a^3 - b^3 = (a - b)(a^2 + ab + b^2)]`
`= (x/6 - 2y)(x^2/36 + (xy)/3 + 4y^2)`
`∴ x^3/216 - 8y^3 = (x/6 - 2y)(x^2/36 + (xy)/3 + 4y^2)`
APPEARS IN
RELATED QUESTIONS
Factorize xy9 - yx9
Factorize the following expressions:
x3y3 + 1
If x2 + y2 = 29 and xy = 2, find the value of x4 + y4 .
What must be added to the following expression to make it a whole square?
4x2 − 20x + 20
If a2 + b2 + c2 = 250 and ab + bc + ca = 3, find a + b + c.
The factors of x4 + x2 + 25 are
Write the number of the term of the following polynomial.
ax ÷ 4 – 7
Write the variables, constant and terms of the following expression
29x + 13y
If x = 2 and y = 3, then find the value of the following expressions
2x – 3y
If x = 2 and y = 3, then find the value of the following expressions
x + 1 – y
