\(-4x^2+12xy-9y^2+25=25-\left(2x-3y\right)^2=\left(5-2x+3y\right)\left(5+2x-3y\right)\)
\(-4x^2+12xy-9y^2+25\)
\(=25-\left(4x^2-12xy+9y^2\right)\)
\(=25-\left(2x-3\right)^2\)
\(=\left(5+2x-3\right)\left(5-2x+3\right)\)
\(-4x^2+12xy-9y^2+25\)
\(=\left(-4x^2+12xy-9y^2\right)+25\)
\(=-\left(4x^2-12xy+9y^2\right)+25\)
\(=-\left(2x-3y\right)^2+25\)
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-4x2 + 12xy - 9y2 + 25
<=> -(-4x2 + 12xy - 9y2 + 25)
<=> (2x)2 - 12xy - (3y)2 - 52
<=> (2x - 3y)2 - 52
<=> (2x - 3y - 5)(2x - 3y + 5)
\(-4x^2+12xy-9y^2+25\)
\(=-\left(4x^2-12xy+9y^2-25\right)\)
\(=-\left(2x-3y-5\right)\left(2x-3y+5\right)\)