2x {3x - 4x - 5x}^{2}
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As we know, (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca
Therefore,
2x(3x - 4x - 5x)²
= 2x { (3x)² + (-4x)² + (-5x)² + 2(3x)(-4x) + 2(-4x)(-5x) + 2(-5x)(3x)}
= 2x { 9x² + 16x² + 25x² - 24x² + 40x² - 30x² }
= 2x ( 36x² )
= 72x³
Therefore,
2x(3x - 4x - 5x)²
= 2x { (3x)² + (-4x)² + (-5x)² + 2(3x)(-4x) + 2(-4x)(-5x) + 2(-5x)(3x)}
= 2x { 9x² + 16x² + 25x² - 24x² + 40x² - 30x² }
= 2x ( 36x² )
= 72x³
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