Answer:
[tex]22-8\sqrt{5}[/tex]
Step-by-step explanation:
Since all the answer choices arent visible, i will directly give the answer.
We will use the distributive property in expanding, which is [tex](a+b)(c+d)=ac+ad+bc+bd[/tex]
So we have:
[tex](2\sqrt{5}-4 )(3\sqrt{5} +2)\\=(2\sqrt{5})(3\sqrt{5} )+2(2\sqrt{5} )-4(3\sqrt{5} )-4(2)\\=6\sqrt{5} \sqrt{5}+4\sqrt{5}-12\sqrt{5}-8\\=6(5)+4\sqrt{5}-12\sqrt{5}-8\\=30+4\sqrt{5}-12\sqrt{5}-8\\=22-8\sqrt{5}[/tex]
Note: we have used the radical property [tex]\sqrt{a}\sqrt{a}=a[/tex] here
