How do you simplify $(-2sqrt3+2)(sqrt3-5)$ ?

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Answer 1 · 2017-07-22T13:57:19

$color(magenta)(4(3sqrt3-4)$

$(-2sqrt3+2)(sqrt3-5)$

$:.sqrt3 xx sqrt3=3$

$:.-2 xx sqrt3 xx sqrt3=-6$

$:.2sqrt3+10sqrt3=12sqrt3$

$:.-5 xx 2=-10$

$:.-6+(12sqrt3)+(-10)$

$:.=12sqrt3-16$

$:color(magenta)(.=4(3sqrt3-4)$

How do you simplify (-2sqrt3+2)(sqrt3-5)(-2sqrt3+2)(sqrt3-5)?