SOLUTION: Expand (4-3sqrt2)^2 (4-3sqrt2)(4-3sqrt2) By FOIL we have: (4-3sqrt(2))*(4-3sqrt(2)) = 4*4 - 12*sqrt(2) - 12*sqrt(2) + 3sqrt(2)*3sqrt(2) = 16 - 24*sqrt(2) + 18 = 34 - 24*sqrt(

Algebra ->  Equations -> SOLUTION: Expand (4-3sqrt2)^2 (4-3sqrt2)(4-3sqrt2) By FOIL we have: (4-3sqrt(2))*(4-3sqrt(2)) = 4*4 - 12*sqrt(2) - 12*sqrt(2) + 3sqrt(2)*3sqrt(2) = 16 - 24*sqrt(2) + 18 = 34 - 24*sqrt(      Log On


   

Question 305056: Expand (4-3sqrt2)^2
(4-3sqrt2)(4-3sqrt2)
By FOIL we have:
(4-3sqrt(2))*(4-3sqrt(2)) =
4*4 - 12*sqrt(2) - 12*sqrt(2) + 3sqrt(2)*3sqrt(2) =
16 - 24*sqrt(2) + 18 =
34 - 24*sqrt(2)
Found 2 solutions by dabanfield, Rustleford:
Answer by dabanfield(803) About Me  (Show Source):
You can put this solution on YOUR website!
Expand (4-3 sqrt2)^2
(4 - 3sqrt(2))^2 = (4-sqrt(2))*(4-sqrt(2))
By FOIL we have:
(4-sqrt(2))*(4-sqrt(2)) =
4*4 - 4*sqrt(2) - 4*sqrt(2) + sqrt(2)*sqrt(2) =
16 - 8*sqrt(2) + 2 =
18 - 8*sqrt(2)



Answer by Rustleford(1) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=2.
  • Graphical form: Equation x%2Bx-x%2B2x=6 was fully solved.
  • Text form: x+x-x+2x=6 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+x%2Bx-x%2B2x=6+%29
    For tutors: simplify_cartoon( x+x-x+2x=6 )
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DETAILED EXPLANATION

Look at .
Eliminated similar terms highlight_red%28+x+%29,highlight_red%28+x+%29,highlight_red%28+-x+%29,highlight_red%28+2%2Ax+%29 replacing them with highlight_green%28+%281%2B1-1%2B2%29%2Ax+%29
It becomes highlight_green%28+%281%2B1-1%2B2%29%2Ax+%29=6.
Look at .
Added fractions or integers together
It becomes %28highlight_green%28+3+%29%29%2Ax=6.
Look at highlight_red%28+%28highlight_red%28+3+%29%29%2Ax+%29=6.
Remove unneeded parentheses around factor highlight_red%28+3+%29
It becomes highlight_green%28+3+%29%2Ax=6.
Look at 3%2Ax=highlight_red%28+6+%29.
Moved these terms to the left highlight_green%28+-6+%29
It becomes 3%2Ax-highlight_green%28+6+%29=0.
Look at highlight_red%28+3%2Ax-6+%29=0.
Solved linear equation highlight_red%28+3%2Ax-6=0+%29 equivalent to 3*x-6 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=2.

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