Question

Factorise
a^4+2a^2b^2+b^4​

Answer 1

Step-by-step explanation:

Hi Priya

Here's your answer

we know that (x+y)^2=x^2+y^2+2xy

similarly here we can write a^4+2a^2b^2+b^2 as (a^2)^2+(b^2)^2+2a^2b^2

so it can also be written as (a^2+b^2)^2

hence the answer is (a^2+b^2)^2

Hope, it helps.

please follow me

Answer 2

Step-by-step explanation:

a⁴+2a²b²+b²

(a²)²+2(a)²(b)²+(b²)²

substitute aA=a² and B= b²

A² +2AB + B²

(A+B)² = (A+B) (A+B)

using identity,

substitute A=a² and B = b²

a⁴+2a²b²+b⁴ = (a²+b²) (a²+b²)

hence the factorisation of a⁴ + 2a²b²+b² = (a² + b²) (a²+b²)