Answer:
1=
[tex][tex]16 {x}^{2} - 16x + 3 \\ 16 {x}^{2} - 4x - 12x + 3 \\ = (4x - 3)(4x - 1)[/tex]
2=
[tex][tex]12 {x}^{2} - x - 20 \\ 12 {x}^{2} + 15x - 16x - 20 \\ = (3x - 4)(4x + 5)[/tex]
3=
[tex][tex]42 {x}^{2} - 75x + 27 \\ 3(14 {x}^{2} - 25x + 9) \\ = 3(7x - 9)(2x - 1)[/tex][/tex]
4=
[tex][tex]72 {x}^{2} + 2x - 4 \\ 2(36 {x}^{2} + x - 2 \\ = 2(9x - 2)(4x + 1)[/tex][/tex]
5=
[tex][tex]8 {x}^{2} - 22x - 63 \\ 8 {x}^{2} + 14x - 36x - 63 \\ = (2x - 9)(4x + 7)[/tex][/tex]
6=
[tex][tex]15 {x}^{2} + 20x + 5 \\ 5(3 {x}^{2} + 4x + 1) \\ = 5(3x + 1)(x + 1)[/tex][/tex]
7=
[tex][tex]24 {x}^{2} + 72x + 54 \\ 6(4 {x}^{2} + 12x + 9) \\ = 6(2x + 3) {}^{2} [/tex][/tex]
8=
[tex][tex] {x}^{2} - 11x + 30 \\ {x}^{2} - 5x - 6x + 30 \\ = (x - 6)(x - 5)[/tex][/tex]
9=
[tex][tex]6 {x}^{2} + 40x - 14 \\ 2(3 {x}^{2} + 20x - 7) \\ = 2(3x - 1)(x + 7)[/tex][/tex]
10=
[tex][tex]56 {x}^{2} - 24x - 32 \\ 8(7 {x}^{2} - 3x - 4) \\ = 8(x - 1)(7x - 4)[/tex][/tex]
11=
[tex][tex]32 {x}^{2} - 52x + 6 \\ 2(16 {x}^{2} - 26x + 3) \\ = 2(2x - 3)(8x - 1)[/tex][/tex]
12=
[tex][tex]16 {x}^{2} - 32x + 15 \\ 16 {x}^{2} - 12x - 20x + 15 \\ = (4x - 5)(4x - 3)[/tex][/tex]
13=
[tex][tex]35 {x}^{2} + 33x + 4 \\ 35 {x}^{2} + 28x + 5x + 4 \\ = (7x + 1)(5x + 4)[/tex][/tex]
14=
[tex][tex]15 {x}^{2} - 26x + 8 \\ 15 {x}^{2} - 6x - 20x + 8 \\ = (3x - 4)(5x - 2)[/tex][/tex]
15=
[tex][tex]18 {x}^{2} + 39x - 24 \\ 3(6x + 13x - 8) \\ = 3(2x - 1)(3x + 8)[/tex][/tex]
16=
[tex][tex]8 {x}^{2} - 32 \\ 8( {x}^{2} - 4) \\ = 8(x - 2)(x + 2) [/tex][/tex]
17=
[tex][tex]2 {x}^{2} + 5x - 7 \\ 2 {x}^{2} + 7x - 2x - 7 \\ = (x - 1)(2x + 7)[/tex]
18=
[tex][tex]45 {x}^{2} - 45 \\ 45( {x}^{2} - 1) \\ = 45(x - 1)(x + 1)[/tex]
19=
[tex]14 {x }^{2} + 27x + 9 \\ 14 {x}^{2} + 21x + 6x + 9 \\ = (7x + 3)(2x + 3)[/tex]
20=
[tex]4 {x}^{2} - 20x - 24 \\ 4( {x}^{2} -5x - 6) \\ = 4(x - 6)(x - 1)[/tex]
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Answers & Comments
Answer:
1=
[tex][tex]16 {x}^{2} - 16x + 3 \\ 16 {x}^{2} - 4x - 12x + 3 \\ = (4x - 3)(4x - 1)[/tex]
2=
[tex][tex]12 {x}^{2} - x - 20 \\ 12 {x}^{2} + 15x - 16x - 20 \\ = (3x - 4)(4x + 5)[/tex]
3=
[tex][tex]42 {x}^{2} - 75x + 27 \\ 3(14 {x}^{2} - 25x + 9) \\ = 3(7x - 9)(2x - 1)[/tex][/tex]
4=
[tex][tex]72 {x}^{2} + 2x - 4 \\ 2(36 {x}^{2} + x - 2 \\ = 2(9x - 2)(4x + 1)[/tex][/tex]
5=
[tex][tex]8 {x}^{2} - 22x - 63 \\ 8 {x}^{2} + 14x - 36x - 63 \\ = (2x - 9)(4x + 7)[/tex][/tex]
6=
[tex][tex]15 {x}^{2} + 20x + 5 \\ 5(3 {x}^{2} + 4x + 1) \\ = 5(3x + 1)(x + 1)[/tex][/tex]
7=
[tex][tex]24 {x}^{2} + 72x + 54 \\ 6(4 {x}^{2} + 12x + 9) \\ = 6(2x + 3) {}^{2} [/tex][/tex]
8=
[tex][tex] {x}^{2} - 11x + 30 \\ {x}^{2} - 5x - 6x + 30 \\ = (x - 6)(x - 5)[/tex][/tex]
9=
[tex][tex]6 {x}^{2} + 40x - 14 \\ 2(3 {x}^{2} + 20x - 7) \\ = 2(3x - 1)(x + 7)[/tex][/tex]
10=
[tex][tex]56 {x}^{2} - 24x - 32 \\ 8(7 {x}^{2} - 3x - 4) \\ = 8(x - 1)(7x - 4)[/tex][/tex]
11=
[tex][tex]32 {x}^{2} - 52x + 6 \\ 2(16 {x}^{2} - 26x + 3) \\ = 2(2x - 3)(8x - 1)[/tex][/tex]
12=
[tex][tex]16 {x}^{2} - 32x + 15 \\ 16 {x}^{2} - 12x - 20x + 15 \\ = (4x - 5)(4x - 3)[/tex][/tex]
13=
[tex][tex]35 {x}^{2} + 33x + 4 \\ 35 {x}^{2} + 28x + 5x + 4 \\ = (7x + 1)(5x + 4)[/tex][/tex]
14=
[tex][tex]15 {x}^{2} - 26x + 8 \\ 15 {x}^{2} - 6x - 20x + 8 \\ = (3x - 4)(5x - 2)[/tex][/tex]
15=
[tex][tex]18 {x}^{2} + 39x - 24 \\ 3(6x + 13x - 8) \\ = 3(2x - 1)(3x + 8)[/tex][/tex]
16=
[tex][tex]8 {x}^{2} - 32 \\ 8( {x}^{2} - 4) \\ = 8(x - 2)(x + 2) [/tex][/tex]
17=
[tex][tex]2 {x}^{2} + 5x - 7 \\ 2 {x}^{2} + 7x - 2x - 7 \\ = (x - 1)(2x + 7)[/tex]
18=
[tex][tex]45 {x}^{2} - 45 \\ 45( {x}^{2} - 1) \\ = 45(x - 1)(x + 1)[/tex]
19=
[tex]14 {x }^{2} + 27x + 9 \\ 14 {x}^{2} + 21x + 6x + 9 \\ = (7x + 3)(2x + 3)[/tex]
20=
[tex]4 {x}^{2} - 20x - 24 \\ 4( {x}^{2} -5x - 6) \\ = 4(x - 6)(x - 1)[/tex]