Factorize 16a2 – 72ab2 +
81b4
a) (4a2 + 9b2)2
b)(4a – 9b2)2
c) (4a2 – 9b2)2 9(4a×9b)
d) (4a + 9b2)2
Solution:16a2 – 72ab2 + 81b4
As we know (a – b)2 = a2 – 2ab + b2
(4a)2– 2(4a)(9b2) + (9b2)2
(4a – 9b2)2
Factorize 16x2 – 25 y2
a)(4x – 5y)2
b) (4x + 5y)2
c) (4x – 5y) (4x + 5y)
d) (4x – 5y)2(4x + 5y)2
Solution:we know that a2–b2=(a+b)(a–b)
Factorize t2 – 12t + 36
a) (t – 6)2
b)(t – 6)( t – 6)
c) t2 – 62
d) both a and b
Solution: t2 – 12t + 36 = (t)2–2(t)(6)+(6)2
(t – 6)2 Or (t – 6)( t – 6)
