Question

give me a correct answer by simplifying

Answer 1

${(3 \sqrt{2} + 2 \sqrt{3)} }^{2} {(3 \sqrt{2} - 2 \sqrt{3)} }^{2} \\ {( {(3 \sqrt{2)} }^{2} - {(2 \sqrt{3)} }^{2} )}^{2} \\ {(18 - 12)}^{2} \\ {6}^{2} \\ 36$
your answer is here ✌✌

Answer 2

Here Your Answer✍️
$(3 \sqrt{2 } \: + 2 \sqrt{3} ) {}^{2} \times (3 \sqrt{2} - 2 \sqrt{3} ) {}^{2} \\ it \: can \: be \: written \: as \\ =(( 3 \sqrt{2} + 2 \sqrt{3} )(3 \sqrt{2} - 2 \sqrt{3} ) {}^{2} \\ using \: identity \: {a}^{2} - {b}^{2} = (a + b)(a - b) \\ let \: a = 3\sqrt{2} \\ b = 2 \sqrt{3} \\ =(( 3 \sqrt{2}) {}^{2} - (2\sqrt{3} ) {}^{2}) {}^{2} \\ =( 3 \times 3 \times \sqrt{2 } \times \sqrt{2} - 2 \times 2 \times \sqrt{3} \times \sqrt{3}) {}^{2} \\ =( 9 \times 2 - 4\times 3) {}^{2} \\ =( 18 - 12) {}^{2} \\ = 6 {}^{2} \\ = 36$
Answer=36