Mathematics
a4 + 4a2 - 32 is equal to:
(a2 + 8) (a + 2) (a + 2)
(a2 - 8) (a - 2) (a + 2)
(a2 + 8) (a2 + 4)
(a2 + 8) (a + 2) (a - 2)
Factorisation
5 Likes
Answer
a4 + 4a2 - 32
= a4 + (8 - 4)a2 - 32
= a4 + 8a2 - 4a2 - 32
= (a4 + 8a2) - (4a2 + 32)
= a2(a2 + 8) - 4(a2 + 8)
= (a2 + 8)(a2 - 4)
Using the formula
[∵ (x2 - y2) = (x + y)(x - y)]
= (a2 + 8)(a - 2)(a + 2)
Hence, option 4 is the correct option.
Answered By
2 Likes
Related Questions
Factorise :
a2 - 16b2 - 2a - 8b
(a + b)2 - 4ab is equal to:
(a + b + 2ab) (a + b - 2ab)
(a + b) (a - b)
(a + b) (a + b)
(a - b) (a - b)
36 - 60y + 25y2 is equal to :
(3 + 5y) (3 + 5y)
(3 - 5y) (6 - 5y)
(3 + 4y) (3 - 4y)
none of these
(x - 2y)2 - 3x + 6y is equal to :
(x - 3y) (x + 2y)
(x - 2y) (x - 2y + 3)
(x + 2y - 3) (x + 2y)
(x - 2y) (x - 2y - 3)