4 x 1 Multiplication: : 4 x 1 Multiplication: Answer is divided into 4 parts (4+1) -1=4 The pattern for each part is given below : Each dot (?) represent single digit in the number & line jointly represents the no’s to be multiplication ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?
Find (2x3+3x2+2x+1) x 2 : Find (2x3+3x2+2x+1) x 2 2 3 2 1 2 x 4 6 4 2 Ans: 4x3+6x2+4x+2
Find (4x3+5x-2) x 3 : Find (4x3+5x-2) x 3 4 0 5 2 3 x 12 0 15 6 Ans: 12x3+15x-6
Find (-3x3+9) x 4 : Find (-3x3+9) x 4 3 0 0 9 4 x 12 00 00 36 Ans: 12x3+15x-6
4 x 2 Multiplication: : 4 x 2 Multiplication: Answer is divided into 5 parts (4+2) -1=5 The pattern for each part is given below : Each dot (?) represent single digit in the number & line jointly represents the no’s to be multiplication ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?
Find (2x3+x2+2x+1) x (2x+1) : Find (2x3+x2+2x+1) x (2x+1) 1 1 2 1 x 4 4 4 1 Ans: 4x4+4x3+5x2+4x+1 2 2 5
Find (2x3-4x2+1) x (3x+2) : Find (2x3-4x2+1) x (3x+2) 4 2 0 1 x 6 8 3 2 Ans: 6x4-8x3-8x2+3x+2 2 3 8
Find (-2x3+9x2-3) x (-5x) : Find (-2x3+9x2-3) x (-5x) 9 0 0 3 x 10 45 15 0 Ans: 10x4-45x3+15x 2 5 00
Find (6x3+4x2) x (10x+3) : Find (6x3+4x2) x (10x+3) 4 3 0 0 x 60 58 0 0 Ans: 60x4+58x3+12x2 6 10 12
3 x 3 Multiplication: : 3 x 3 Multiplication: Answer is divided into 5 parts (3+3)-1=5 The pattern for each part is given below : ? ? ? ? ? ? Each dot (?) represent single digit in the number & line jointly represents the no’s to be multiplication ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?
Find (2x2+x+1) x (2x2+3x+1) : Find (2x2+x+1) x (2x2+3x+1) 2 1 1 1 x 4 8 4 1 Ans: 4x4+8x3+7x2+4x+1 2 3 7
Find (2x2+5x-3) x (4x2-3x+1) : Find (2x2+5x-3) x (4x2-3x+1) 2 1 5 3 x 8 14 14 3 Ans: 8x4+14x3-25x2+14x-3 4 3 25
Find (-3x2+11) x (2x2-3x) : Find (-3x2+11) x (2x2-3x) 3 0 0 11 x 6 9 33 0 Ans: -6x4+9x3+22x2-33x 2 3 22
Find (6x2+8x+5) x (5x2+6) : Find (6x2+8x+5) x (5x2+6) 6 6 8 5 x 30 40 48 30 Ans: 30x4+40x3+61x2+48x+30 5 0 61