Product of 2x^2-2x+4 and 4x^2+5x+3
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siddhartharao77:
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(2x² - 2x + 4)(4x² + 5x + 3)
=> {2x²(4x² + 5x + 3)} + {-2x(4x² + 5x + 3)} + { 4(4x² + 5x + 3)}
=> { 8x⁴ + 10x³ + 6x²} + {-8x³ - 10x² - 6x} + { 16x² + 20x + 12}
=> 8x⁴ + 10x³ + 6x² - 8x³ - 10x² - 6x + 16x² + 20x + 12
=> 8x⁴ + 2x³ + 12x² + 14x + 12
=> {2x²(4x² + 5x + 3)} + {-2x(4x² + 5x + 3)} + { 4(4x² + 5x + 3)}
=> { 8x⁴ + 10x³ + 6x²} + {-8x³ - 10x² - 6x} + { 16x² + 20x + 12}
=> 8x⁴ + 10x³ + 6x² - 8x³ - 10x² - 6x + 16x² + 20x + 12
=> 8x⁴ + 2x³ + 12x² + 14x + 12
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