simplify the expression with steps

Hello :)

The first thing you want to do is use foil

F- first O- outer I-inner L-last

Lets start with F ( first)

6 × 3 = 18

Now, lets do O (outer)

6 × 2√10 = 12√10

how to do it ?

(6×2=12 and keep √10)

Then, we are going to do I ( inner)

(-√5) × 3= -3√5

how to do it ?

remove the parenthesis

-√5 × 3= -3√5

Lastly, we are going to do L (last)

(-√5) × 2 √10= -10√2

how to do it ?

remove the parenthesis from (-√5), then factor 2 √10

-√5 × 2

-√5 × 2 √5√2

there are two 5's so we use our radical rule √a√a=a

-2 × 5√2=-10√2

The last thing you have to do is put them all together

18+12√20-3√5-10√2

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