[tex](x + 5x)^{2} - (x - 5)(x + 5) + 5(3x - 5)\\= (x + 5)(x + 5) - (x - 5)(x + 5) + 5(3x - 5)\\= (x^{2} + 10x + 25) - (x^{2} - 5x + 5x - 25) + 15x - 25\\= x^{2} + 10x + 25 - x^{2} + 5x - 5x + 25 + 15x - 25\\= x^{2} + 10x + 25 - x^{2} + 15x - 25\\= (x^{2} - x^{2} ) + 10x + 15x + 25 - 25\\= 0 + 25x + 0\\= 25x[/tex]
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[tex](x + 5x)^{2} - (x - 5)(x + 5) + 5(3x - 5)\\= (x + 5)(x + 5) - (x - 5)(x + 5) + 5(3x - 5)\\= (x^{2} + 10x + 25) - (x^{2} - 5x + 5x - 25) + 15x - 25\\= x^{2} + 10x + 25 - x^{2} + 5x - 5x + 25 + 15x - 25\\= x^{2} + 10x + 25 - x^{2} + 15x - 25\\= (x^{2} - x^{2} ) + 10x + 15x + 25 - 25\\= 0 + 25x + 0\\= 25x[/tex]