SOLUTION: simplify the following algebraic expression Multiply: (3x + 4) (3x -4)

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Question 35094: simplify the following algebraic expression
Multiply: (3x + 4) (3x -4)

Found 2 solutions by lyra, stanbon:
Answer by lyra(94)   (Show Source): You can put this solution on YOUR website!



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YOUR ANSWER


  • Graphical form: simplifies to
  • Text form: (3x+4)*(3x-4) simplifies to 9*x^2-16
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( (3x+4)*(3x-4) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION


Look at .
Expanded term %283%2Ax-4%29 by using associative property on %283%2Ax%2B4%29
It becomes .

Look at .
Expanded term 3%2Ax by using associative property on %283%2Ax-4%29
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Reduce similar several occurrences of highlight_red%28+x+%29 to highlight_green%28+x%5E2+%29
It becomes .

Look at .
Expanded term 4 by using associative property on %283%2Ax-4%29
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Eliminated similar terms highlight_red%28+-12%2Ax+%29,highlight_red%28+12%2Ax+%29 replacing them with highlight_green%28+%28-12%2B12%29%2Ax+%29
It becomes .

Look at .
Since highlight_red%28+%28-12%2B12%29%2Ax+%29 has zero as a factor, it should be replaced with a zero

Look at .
Added fractions or integers together
It becomes .

Look at .
Remove extraneous zero highlight_red%28+0+%29
It becomes .
Result:

Universal Simplifier and Solver


Done!


Hope this helps,
lyra

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Multiply: (3x + 4) (3x -4)
= (3x)^2 - (4)^2
=9x^2 - 4^2
=9x^2-16
Cheers,
Stan H.

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