1.    Find the LCM of 2x3+2x2-12x, 6x3-6x2-72x and 4x3- 24x2+32xHere,                                                                                  1st expression = 2x3+2x2-12x                               =2x(x2 + x – 6)                               =2x(x2+3x-2x-6)             ...

1.   
Find the LCM of 2x³+2x²-12x, 6x³-6x²-72x
and 4x³- 24x²+32x

Here,                                                                          

       1^st expression = 2x³+2x²-12x

                               =2x(x²
+ x – 6)

                               =2x(x²+3x-2x-6)

                               =2x[x(x+3)-2(x+3)]

                              =2x(x-2)(x+3)

      2^nd expression = 6x³-6x²-72x

                               =6x(x²
–x- 12)

                               =6x(x²-4x+3x-12)

                              
=6x[x(x-4)+3(x-4)]

                               =6x(x-4)(x+3)

     3^rd expression = 4x³-
24x²+32x

                              = 4x(x²-6x+8)

                              = 4x(x²
-4x-2x+8)

                              =
4x[x(x-4)-2(x-4)]

                              =4x(x-4)(x-2)

       

LCM= 12x (x-2) (x-4) (x+3)