document.write( "Question 75553: did i solve this right?
\n" ); document.write( "(4m-3n)(4m+3n)
\n" ); document.write( "=4m*4m=16m^2
\n" ); document.write( "3n*3n=9n^2
\n" ); document.write( "=16m^2+n^2 \n" ); document.write( "

Algebra.Com's Answer #54206 by Alwayscheerful(414) $\"\"$ $\"About$

You can put this solution on YOUR website!
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Solved by pluggable solver: EXPLAIN simplification of an expression

Your Result:

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Graphical form: $\"%284m-3n%29%2A%284m%2B3n%29\"$ simplifies to $\"16%2Am%5E2-9%2An%5E2\"$
Text form: (4m-3n)*(4m+3n) simplifies to 16*m^2-9*n^2
Cartoon (animation) form: $\"simplify_cartoon%28+%284m-3n%29%2A%284m%2B3n%29+%29\"$
For tutors: simplify_cartoon( (4m-3n)*(4m+3n) )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"highlight_red%28+%284%2Am-3%2An%29%2A%284%2Am%2B3%2An%29+%29\"$ .
Expanded term $\"%284%2Am%2B3%2An%29\"$ by using associative property on $\"%284%2Am-3%2An%29\"$
It becomes

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Look at $\"highlight_red%28+%284%2Am%2B3%2An%29%2A4%2Am+%29-%284%2Am%2B3%2An%29%2A3%2An\"$ .
Expanded term $\"4%2Am\"$ by using associative property on $\"%284%2Am%2B3%2An%29\"$
It becomes

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Look at

.
Multiplied numerator integers
It becomes $\"highlight_green%28+16+%29%2Am%2Am%2B4%2Am%2A3%2An-%284%2Am%2B3%2An%29%2A3%2An\"$ .
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Look at

.
Multiplied numerator integers
It becomes $\"16%2Am%2Am%2Bhighlight_green%28+12+%29%2Am%2An-%284%2Am%2B3%2An%29%2A3%2An\"$ .
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Look at

.
Reduce similar several occurrences of $\"highlight_red%28+m+%29\"$ to $\"highlight_green%28+m%5E2+%29\"$
It becomes $\"16%2Ahighlight_green%28+m%5E2+%29%2B12%2Am%2An-%284%2Am%2B3%2An%29%2A3%2An\"$ .
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Look at $\"16%2Am%5E2%2B12%2Am%2An-highlight_red%28+%284%2Am%2B3%2An%29%2A3%2An+%29\"$ .
Expanded term $\"-3%2An\"$ by using associative property on $\"%284%2Am%2B3%2An%29\"$
It becomes

.
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Look at

.
Multiplied numerator integers
It becomes $\"16%2Am%5E2%2B12%2Am%2An-highlight_green%28+12+%29%2An%2Am-3%2An%2A3%2An\"$ .
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Look at $\"16%2Am%5E2%2B12%2Am%2An-12%2An%2Am-highlight_red%28+3+%29%2An%2Ahighlight_red%28+3+%29%2An\"$ .
Multiplied numerator integers
It becomes $\"16%2Am%5E2%2B12%2Am%2An-12%2An%2Am-highlight_green%28+9+%29%2An%2An\"$ .
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Look at $\"16%2Am%5E2%2B12%2Am%2An-12%2An%2Am-9%2Ahighlight_red%28+n+%29%2Ahighlight_red%28+n+%29\"$ .
Reduce similar several occurrences of $\"highlight_red%28+n+%29\"$ to $\"highlight_green%28+n%5E2+%29\"$
It becomes $\"16%2Am%5E2%2B12%2Am%2An-12%2An%2Am-9%2Ahighlight_green%28+n%5E2+%29\"$ .
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Look at $\"16%2Am%5E2%2Bhighlight_red%28+12%2Am%2An+%29-highlight_red%28+12%2An%2Am+%29-9%2An%5E2\"$ .
Eliminated similar terms $\"highlight_red%28+12%2Am%2An+%29\"$ , $\"highlight_red%28+-12%2An%2Am+%29\"$ replacing them with $\"highlight_green%28+%2812-12%29%2Am%2An+%29\"$
It becomes $\"16%2Am%5E2%2Bhighlight_green%28+%2812-12%29%2Am%2An+%29-9%2An%5E2\"$ .
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Look at $\"16%2Am%5E2%2Bhighlight_red%28+%2812-12%29%2Am%2An+%29-9%2An%5E2\"$ .
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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Look at $\"16%2Am%5E2%2B0-9%2An%5E2\"$ .
Added fractions or integers together
It becomes $\"16%2Am%5E2%2B0-9%2An%5E2\"$ .
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Look at $\"16%2Am%5E2%2Bhighlight_red%28+0+%29-9%2An%5E2\"$ .
Remove extraneous zero $\"highlight_red%28+0+%29\"$
It becomes $\"16%2Am%5E2-9%2An%5E2\"$ .
Result: $\"16%2Am%5E2-9%2An%5E2\"$
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Universal Simplifier and Solver

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Done!

\n" ); document.write( "\n" ); document.write( "When two terms in parenthesis are adjacent to each other, you need to multiply them, not set them equal to each other.
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