Advertisements
Advertisements
Question
Factorize x3 + 8y3 + 6x2 y +12xy2
Advertisements
Solution
= ( x)3 + (2 y)3 + 3 × x2 × 2 y + 3 × x × (2 y)2
= ( x + 2 y)3 [ ∵ a3 + b3 + 3a2b + 3ab2 = (a + b)3]
= ( x + 2 y)( x + 2 y )( x + 2 y )
∴ x3 + 8 y3 + 6x2 y +12xy2 = ( x + 2y )( x + 2 y )( x + 2 y)
shaalaa.com
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Factorize: x3 + x - 3x2 - 3
Factorize the following expressions:
`x^3/216 - 8y^3`
Factorize 64a3 +125b3 + 240a2b + 300ab2
27x3 − y3 − z3 − 9xyz
If a2 + b2 + c2 = 20 and a + b + c = 0, find ab + bc + ca.
Evaluate: (c + 5)(c - 3)
Divide: x5 - 15x4 - 10x2 by -5x2
Complete the table.
| × | 2x2 | −2xy | x4y3 | 2xyz | (___)xz2 |
| x4 | |||||
| (___) | 4x5y4 | ||||
| −x2y | |||||
| 2y2z | −10xy2z3 | ||||
| −3xyz | |||||
| (___) | −14xyz2 |
Will the value of 11x for x = –5 be greater than 11 or less than 11? Explain.
Which of the following statements about polynomials is correct?
