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2024-12-03 10:27:56
a) 5(x+2y) -15x (x+2y)
= 5(x+2y).(5-15x)
b) 4x^2 - 12x + 9
=[(2x)^2 - 2.2x.3+3^2]
= (2x + 3)^2
c) (3x - 2)^3-3.(x - 4).(x + 4)+(x - 3)^3 - (x + 1).(x^2 - x + 1)
= 27x^3 - 54x^2 + 36x - 8 - 3.(x^2 -16) + x^3 - 9x^2 + 27x -27 - (x^3 + 1)
= (27x^3 + x^3 -x^3)+(-54x^2-3x^2-9x^2)+(36x+27x)+(-8+48-27-1)
= 27x^3-66x^2+63x+12