The solution for this expression is:[tex]9\sqrt{6}-15\sqrt{15}+6\sqrt{10}-50[/tex].
Properties of Multiplication
The properties of multiplication are:
- Distributive: a(b±c)= ab±ac
- Comutative: a . b = b. a
- Associative: a(b+c)= c(a+b)
- Identity: b.1=b
Here, you should apply the distributive property for solving this expression.
[tex](3\sqrt{3}+2\sqrt{5} )*(3\sqrt{2}-5\sqrt{5})\\ \\[/tex]
Applying the distributive property, you have:
[tex]9\sqrt{6}-15\sqrt{15}+6\sqrt{10}-10*\sqrt{25} \\ \\ 9\sqrt{6}-15\sqrt{15}+6\sqrt{10}-10*5\\ \\ 9\sqrt{6}-15\sqrt{15}+6\sqrt{10}-50[/tex]
Read more about the distributive property here:
brainly.com/question/4077386
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