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After evaluating the ( 2 + [tex]\sqrt{3}[/tex] ) ( [tex]\sqrt{3}[/tex] - 7) expression we get -5[tex]\sqrt{3}[/tex] - 11.
What do you mean by FOIL method?
FOIL stands for "First, Outer, Inner, Last".
It is the sum of:
· multiplying the First terms from the two brackets,
· multiplying the Outer terms from the two brackets,
· multiplying the Inner terms from the two brackets, and
· multiplying the Last terms from the two brackets
Example: (a + b) ( c + d) = ac + ad + bc + bd
Here, we have given the equation:
( 2 + [tex]\sqrt{3}[/tex] ) ( [tex]\sqrt{3}[/tex] - 7)
here,
First terms = 2 x [tex]\sqrt{3}[/tex] = 2 [tex]\sqrt{3}[/tex]
Outer terms = 2(-7) = -14
Inner terms = [tex]\sqrt{3}[/tex]x[tex]\sqrt{3}[/tex] = 3
Last terms = -7[tex]\sqrt{3}[/tex]
Now adding all these together we get,
( 2 + [tex]\sqrt{3}[/tex] ) ( [tex]\sqrt{3}[/tex] - 7) = 2 [tex]\sqrt{3}[/tex] - 14 + 3 + -7[tex]\sqrt{3}[/tex]
( 2 + [tex]\sqrt{3}[/tex] ) ( [tex]\sqrt{3}[/tex] - 7) = -5[tex]\sqrt{3}[/tex] - 11
Hence,
After evaluating the ( 2 + [tex]\sqrt{3}[/tex] ) ( [tex]\sqrt{3}[/tex] - 7) expression we get -5[tex]\sqrt{3}[/tex] - 11.
Learn more about " Foil Method " from here: https://brainly.com/question/2092062
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