a) \(3x^{2} - 7x - 10 \)
= \(3x^{2} + 3x - 10x - 10\)
= \(3x(x + 1) - 10(x + 1)\)
= \((x + 1)(3x - 10)\)
b) \(5x^{3} - 5x^{2}y - 10x^{2} + 10xy \)
= \(5x(x^{2}- xy - 2x + 2y)\)
= \(5x\left [ x(x - y) - 2(x - y) \right ]\)
= \(5x(x - y)(x - 2)\)
c) \(3x^{2} - 6xy + 3y^{2}- 12z^{2}\)
= \(3(x^{2} - 2xy + y^{2} - 4z^{2})\)
= \(3\left [ (x - y)^{2} - (2z)^{2} \right ]\)
= \(3(x - y - 2z)(x - y + 2z)\)
a) 3x2 - 7x -10 = 3x2 +3x - 10x -10
= 3x(x+1) - 10(x+1)
= (3x-10)(x+1)
b) 5x3 - 5x2y - 10x2 + 10xy = 5x2(x-y) - 10x(x-y)
= (5x2-10x)(x-y)
= 5x(x-2)(x-y)
c) 3x2 - 6xy + 3y2 - 12z2 = 3[(x2 - 2xy +y2 )- 4z2 ]
= 3 [ (x-y)2 - 4z2 ]
= 3 ( x-y-2z)(x-y+2z)
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