Question

x² – 3x2y2 +9y4
please answer my question quikly ​

Answer 1

Answer:

$x^4-3x^2y^2+9y^4$

Step-by-step explanation:

Add and Subtract $9x^2y^2$= $x^4+6x^2y^2+9y^4-9x^2y^2$

Factor $x^4+6x^2y^2+9y^4:(x^2+3y^2)^2$= $(x^2+3y^2)^2-9x^2y^2$

Apply exponent rules = $(x^2+3y^2)^2-(3xy)^2$

Factor $(x^2+3y^2)^2-(3xy)^2:(x^2+3y^2+3xy)(x^2+3y^2-3xy)$ = $(x^2+3y^2+3xy)(x^2+3y^2-3xy)$