SOLUTION: did i solve this right? (4m-3n)(4m+3n) =4m*4m=16m^2 3n*3n=9n^2 =16m^2+n^2

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Question 75553: did i solve this right?
(4m-3n)(4m+3n)
=4m*4m=16m^2
3n*3n=9n^2
=16m^2+n^2

Answer by Alwayscheerful(414)   (Show Source): You can put this solution on YOUR website!
Solved by pluggable solver: EXPLAIN simplification of an expression
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YOUR ANSWER


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

DETAILED EXPLANATION


Look at .
Expanded term %284%2Am%2B3%2An%29 by using associative property on %284%2Am-3%2An%29
It becomes .

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Expanded term 4%2Am by using associative property on %284%2Am%2B3%2An%29
It becomes .

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Multiplied numerator integers
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Multiplied numerator integers
It becomes .

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

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Expanded term -3%2An by using associative property on %284%2Am%2B3%2An%29
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Multiplied numerator integers
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Reduce similar several occurrences of highlight_red%28+n+%29 to highlight_green%28+n%5E2+%29
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Eliminated similar terms highlight_red%28+12%2Am%2An+%29,highlight_red%28+-12%2An%2Am+%29 replacing them with highlight_green%28+%2812-12%29%2Am%2An+%29
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Since highlight_red%28+%2812-12%29%2Am%2An+%29 has zero as a factor, it should be replaced with a zero

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Added fractions or integers together
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Remove extraneous zero highlight_red%28+0+%29
It becomes .
Result:

Universal Simplifier and Solver


Done!

When two terms in parenthesis are adjacent to each other, you need to multiply them, not set them equal to each other.
Hope this helps!

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