5. Factorise: (i) 10x2+3x –4 (ii) 25x2 –36y2 (iii) 8x3 –27y3 –36x2y +54xy2
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1) 10x^2 + (8-5)x -4 = 10x^2 +8x - 5x -4 = 2x(5x+4) -(5x+4) = (2x-1)(5x+4)
2) 25x^2 - 36y^2 = (5x)^2 - (6y)^2 = (5x-6y)(5x+6y)
3) (2x)^3 - (3y)^3 - 18xy(2x-3y) = (2x-3y)^3
2) 25x^2 - 36y^2 = (5x)^2 - (6y)^2 = (5x-6y)(5x+6y)
3) (2x)^3 - (3y)^3 - 18xy(2x-3y) = (2x-3y)^3
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