\(\left(-2x+3\right)^2-\left(5x-3\right)^2\\ =\left[\left(-2x+3\right)-\left(5x-3\right)\right]\left[\left(-2x+3\right)+\left(5x-3\right)\right]\\ =\left(-2x+3-5x+3\right)\left(-2x+3+5x-3\right)\\ =\left(-7x+6\right)\cdot3x\\ =-21x^2+18x\)
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