Question

find the geometric mean of (x+y)² (x-y)²​

Answer 1

Answer:

$(x {}^{2} - y {}^{2} )$

Step-by-step explanation:

geometric mean =

$\sqrt{x1 \times x2}$

so here,

x1 × x2 =

$x { }^{4} + x {}^{2} y {}^{2} - 2x {}^{3} y + y {}^{2} x {}^{2} + y {}^{4} - 2x {}^{3} y + 2y {}^{3} x - 4x {}^{2} y {}^{2}$

=

$x {}^{4} + y {}^{4} - 2x {}^{2} y {}^{2}$

$(x {}^{2}- y {}^{2} ) {}^{2}$

so,

geometric mean =

$\sqrt{} (x {}^{2} - y {}^{2} ) {}^{2}$

=

$(x {}^{2} - y {}^{2} )$