Question

Rezultatul calculului
$(1 + 3 \sqrt{2} ) {}^{2} - (2 \sqrt{2} - 3) {}^{2}$

Answer 1

(1+3√2)²-(2√2-3)²=

=1+2*1*3√2+(3√2)²-[(2√2)²-2*2√2*3+3²]=

=1+6√2+18-(8-12√2+9)=

=19+6√2-(17-12√2)=

=19+6√2-17+12√2=

=2+18√2=

=2(1+9√2).