Question

The linear factor(s) of the equation $x^2{y}^2-9x^2-25y^2+225=0$ is/are

• A. $(y-3)=0$
• B. $(y+3)=0$
• C. $(x-5)=0$
• D. $(x+5)=0$

Answer 1

Answer: (A), (B), (C), (D)

$(x+5)=0$

$x^2{y}^2-9x^2-25y^2+225=0$
$\Rightarrow x^2(y^2-9)-25(y^2-9)=0$
$\Rightarrow (y^2-9)(x^2-25)=0$
$\Rightarrow (y-3)(y+3)(x-5)(x+5)=0$