Advertisements
Advertisements
प्रश्न
Factorize the following expressions:
a3 + 3a2b + 3ab2 + b3 - 8
Advertisements
उत्तर
= (a + b)3 - 8 [∵ a3 + 3a2b + 3ab2 + b3 = (a + b)3]
= (a + b)3 - 23
= (a + b - 2)((a + b)2 + (a + b)2 + 22)
= (a + b - 2)(a2 + b2 + 2ab + 2a + 2b + 4)
∴ a3 + 3a2b + 3ab2 + b3 - 8 = (a + b - 2)(a2 + b2 + 2ab + 2a + 2b + 4)
shaalaa.com
क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
APPEARS IN
संबंधित प्रश्न
Factorize a2 + 2ab + b2 - c2
Factorize x4 + x2 y2 + y4
Factorize `x^2 + 6sqrt2x + 10`
Factorize `x^2 + 2sqrt3x - 24`
8x3 -125y3 +180xy + 216
If x2 + y2 = 29 and xy = 2, find the value of x4 + y4 .
If (x + y)3 − (x − y)3 − 6y(x2 − y2) = ky2, then k =
Divide: 8x + 24 by 4
When y = –1, the value of the expression 2y – 1 is 3
Express the following properties with variables x, y and z.
Commutative property of multiplication
