Question

Factorise a^4+2a^2b^2+b^4. ​

Answer 1

Answer:

v) a- 2a?b2 +b

at-2a2b2 + b

(a)2 - 2a?b2 + (b2)2

= (a2)2 +(b2)2 - 2 (a? xb2)

Using (x y)2 = x2 +y2 - 2xy

Here x= a and y = b2

= (a2 - b2)2

Using x2-y2 = (x +y)(x - y)

Here x =a and y = b

= [(a + b) (a - b)I*

= (a +b)2 (a - b)2

(As (ab) = a" x bm)