化简求值√（2x²+3y²)²-(2x²-3y²)²,其中X=√6+1,y=√6-1.

化简求值√（2x²+3y²)²-(2x²-3y²)²,其中X=√6+1,y=√6-1.
化简求值√（2x²+3y²)²-(2x²-3y²)²,其中X=√6+1,y=√6-1.

化简求值√（2x²+3y²)²-(2x²-3y²)²,其中X=√6+1,y=√6-1.
√（2x²+3y²)²-(2x²-3y²)²
=√[(2x²+3y²+2x²-3y²)(2x²+3y²-2x²+3y²)]
=√(4x²*6y²)
=2√6|xy|
=2√6xy
=2√6*(√6+1)(√6-1)
=2√6*5
=10√6

√（2x²+3y²)²-(2x²-3y²)²
=√(2x²+3y²-2x²+3y²)(2x²+3y²+2x²-3y²)
=√(6y²)*(4x²)
=2xy√6
X=√6+1,y=√6-1
2(√6+1)(√6-1)√6
=2(6-1)√6
=10√6