\(\left(8x+3\right)^2-25x^2=\left(8x+3\right)^2-\left(5x\right)^2=\left(8x+3+5x\right)\left(8x+3-5x\right)=\left(13x+3\right)\left(3x+3\right)\)
= (8x +3 - 5x).(8x +3 +5x) =(3x+3).(13x+3)
\(\left(8x+3\right)^2-25x^2\)
\(=\left(8x+3\right)^2-\left(5x\right)^2\)
\(=\left(8x+3-5x\right)\left(8x+3+5x\right)\)
\(=\left(3x+3\right)\left(13x+3\right)\)