1) a(x+y) = ax+ay
2) -p(a-b) = -ap+bp
3) 3x²(x³-3) = 3x⁵-9x²
4) (2x-x³)(-5x⁴) = -10x⁵+5x⁷
5) 3x(x-2)-5x(x+3) = 3x²-6x-5x²-15x = -2x²+9x
6) 5n²(3n-1)-2n(5n²-3) = 15n³-5n²-10n³+6n = 5n³-5n²+6n
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Answers & Comments
1) a(x+y) = ax+ay
2) -p(a-b) = -ap+bp
3) 3x²(x³-3) = 3x⁵-9x²
4) (2x-x³)(-5x⁴) = -10x⁵+5x⁷
5) 3x(x-2)-5x(x+3) = 3x²-6x-5x²-15x = -2x²+9x
6) 5n²(3n-1)-2n(5n²-3) = 15n³-5n²-10n³+6n = 5n³-5n²+6n