Question

(x+1)(x+2)(3x-1)(3x-4)+12​

Answer 1

Answer:

=(x

2

+3x+2)(9x

2

−15x+4)+12

=(x

2

+3x+2)(1)(9−5+2)+12

=(x

2

+3x+2)(6)+12

=6x

2

+18x+24

Answer 2

$\to \gray{ \rm (x+1)(x+2)(3x-1)(3x-4)+12 }\\ \small\to\blue{ \rm ( {x}^{2} + 2x + x + 2)( {3x}^{2} - 12x - 3x + 4) + 12 }\\ \to \green{\rm ({x}^{2} + 3x + 2)( {3x}^{2} - 15x + 4 ) + 12 } \\ \small \to \purple{ \rm {x}^{2} ({3x}^{2} - 15x + 4 ) + 3x({3x}^{2} - 15x + 4 ) + 2({3x}^{2} - 15x + 4 )+ 12} \\ \to \pink{\rm {3x}^{4} - {15x}^{3} + {4x}^{2} + {9x}^{3} - {45x}^{2} + 12x + {6x}^{2} - 30x + 8 + 12} \\ \large\to \rm \red{ {3x}^{4} - {6x}^{3} - {35x}^{2} - 18x + 20}$