Advertisements
Advertisements
Question
Factorize the following expressions:
a3 + b3 + a + b
Solution
= (a3 + b3) +1(a + b)
= (a + b)(a2 - ab + b2) +1(a + b)
= (a + b)(a2 - ab + b2 +1)
∴ a3 + b3 + a + b = (a + b)(a2 - ab + b2 +1)
shaalaa.com
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Factorize: a (a + b)3 - 3a2b (a + b)
Factorize `21x^2 - 2x + 1/21`
Factorize 125x3 - 27 y3 - 225x2 y +135xy2
`3sqrt3a^3 - b^3 - 5sqrt5c^3 - 3sqrt15abc`
Find the value of x3 + y3 − 12xy + 64, when x + y =−4
If a + b + c = 0, then write the value of a3 + b3 + c3.
Divide: 8a2 + 4a - 60 by 2a - 5
Divide: 6x3 + 5x2 − 21x + 10 by 3x − 2
The area of a rectangle is 6x2 – 4xy – 10y2 square unit and its length is 2x + 2y unit. Find its breadth.
In the formula, area of circle = πr2, the numerical constant of the expression πr2 is ______.
