Question

factorise : 4x^4+y^4

Answer 1

$\underline{\underline{\Huge\mathfrak{ANSWER ;}}}$

Here's Your Answer ⏬

=≈≈≈===≈≈≈≈≈===≈≈≈≈≈=≈≈=
Step by Step Explanation ;-
=≈≈≈===≈≈≈≈≈===≈≈≈≈≈=≈≈=

=> 4x^4+y^4

=> 4x^4 + 4x^2 y^2 + y^4 - 4x^2 y^2

[ Adding and Subtracting 4x^4y^4 ]

=> { 2x^2 + y^2 }^2 - { 2xy }^2

[ Hence , ( a+b )^2 = a^2 + 2ab + b^2 ]

=>( 2x^2 + y^2 - 2xy )( 2x^2 + y^2 + 2xy )

[ a^2 - b^2 = ( a - b ) ( a + b )]

________✨@dmohit432✨________

Answer 2

Answer:

(2x+y)(2x-y)

Step-by-step explanation:

4x^4 + y^4

(2x^2)^2 + (y^2)^2

(2x^2+y^2)( 2x^2-y^2)\                         [using a^2+b^2 = (a+b)(a-b)]