Advertisements
Advertisements
Question
Factorize: a (a + b)3 - 3a2b (a + b)
Solution
Taking (a + b) common in two terms
= (a + b){a (a + b)2 - 3a2b}
Now, using (a + b)2 = a2 + b2 + 2ab
= (a + b){a (a2 + b2 + 2ab) - 3a2b}
= (a + b){a3 + ab2 + 2a2b - 3a2b}
= (a + b){a3 + ab2 - a2b}
= (a + b) a{a2 + b2 - ab}
= a (a + b)(a2 + b2 - ab)
∴ a (a + b)3 - 3a2b (a + b) = a (a + b)(a2 + b2 - ab)
shaalaa.com
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Factorize x3 - 2x2 y + 3xy2 - 6y3
Factorize `x^2 + 5sqrt5x + 30`
Factorize the following expressions:
`8x^2y^3 - x^5`
Factorize 8x3 + 27 y3 + 36x2 y + 54xy2
Factorize x3 -12x ( x - 4) - 64
Write the number of the term of the following polynomial.
ax – by + y x z
Evaluate: (a2 + 2ab + b2)(a + b)
Multiply: (6x - 2y)(3x - y)
Divide: 25x2y by - 5y2
Divide: 5x2 - 3x by x
