Answer:
The answer is option 3.
Step-by-step explanation:
The steps are :
[tex]3 \sqrt{2} (5 \sqrt{6} - 7 \sqrt{3}) [/tex]
[tex] = (3 \sqrt{2} )(5 \sqrt{6} ) - (3 \sqrt{2} )(7 \sqrt{3} )[/tex]
[tex] = 15 \sqrt{12} - 21 \sqrt{6} [/tex]
[tex] = 15 \sqrt{4 \times 3} - 21 \sqrt{6} [/tex]
[tex] = 15(2) \sqrt{3} - 21 \sqrt{6} [/tex]
[tex] = 30 \sqrt{3} - 21 \sqrt{6} [/tex]
