Question

How 12 - 5√15 is the answer of the question : Simplify : ( 2√5 - 3√3 ) ( 3√5 + 2√3 ) UNLESS ANSWERS WILL NOT BE ENTERTAINED AND WILL BE REPORTED .

Answer 1

$\sf{(2\sqrt{5}-3\sqrt{3}) (3\sqrt{5}+2\sqrt{3}) }\\\\\sf{= 2\sqrt{5}(3\sqrt{5}+2\sqrt{3})-3\sqrt{3}(3\sqrt{5}+2\sqrt{3})}\\\\\sf{=(6 \times 5)+4 \sqrt{15}-9\sqrt{15}+(-6\times3)}\\\\\sf{=30-5\sqrt{15}-18}\\\\\sf{=-5\sqrt{15}+12}\\\\\boxed{\sf{=12-5\sqrt{15}}}$

Hence, the answer is (12 - 5√15) by simple multiplication. ☺

Answer 2

$\implies \sf{( 2\sqrt{5} - 3 \sqrt{3} )}(3 \sqrt{5} + 2 \sqrt{3} ) \\\\ \implies\sf{2 \sqrt{5} (3 \sqrt{ 5} + 2 \sqrt{3} )} - 3 \sqrt{3} (3 \sqrt{5} + 2 \sqrt{3} ) \\ \\ \implies \sf{30 +4 \sqrt{15} } - 9 \sqrt{15} - 18 \\\\ \implies \sf \purple{12 - 5 \sqrt{15} }$