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Answers
Step-by-step explanation:
1. 15x² + 52x + 45
= 15x² + 25x + 27x + 45
= 5x(3x + 5) + 9(3x + 5)
= (3x +5)(5x + 9)
2. 8x² + 26x + 20
= 8x² + 16x + 10x + 20
= 8x(x + 2) + 10(x + 2)
= (x + 2)(8x + 10)
3. 48x² + 14x + 1
= 48x² + 6x + 8x + 1
= 6x(8x + 1) + 1(8x + 1)
= (8x + 1)(6x + 1)
4. 21x² - x - 2
= 21x² - 7x + 6x - 2
= 7x(3x - 1) + 2(3x - 1)
= (3x - 1)(7x + 2)
5. 8x² - 25x + 18
= 8x² - 16x - 9x + 18
= 8x(x - 2) - 9(x - 2)
= (x - 2)(8x - 9)
6. 15x² - 25x - 40
= 15x² - 40x + 15x - 40
= 5x(3x - 8) + 5(3x - 8)
= (3x - 8)(5x + 5)
7. 45x² + 46x -63
= 45x² + 81x - 35x - 63
= 9x(5x + 9) - 7(5x + 9)
= (5x + 9)(9x - 7)
8. 81x² + 99x + 28
= 81x² + 63x + 36x + 28
= 9x(9x + 7) + 4(9x + 7)
= (9x + 7)(9x + 4)
9. 6x² - 21x + 9
= 6x² - 18x - 3x + 9
= 6x(x - 3) - 3(x - 3)
= (x - 3)(6x - 3)
10. 20x² - 71x + 63
= 20x² - 35x - 36x + 63
= 5x(4x - 7) - 9(4x - 7)
= (4x - 7)(5x - 9)
11. 6x² - 34x + 20
= 6x² - 30x - 4x + 20
= 6x(x - 5) - 4(x - 5)
= (x - 5)(6x - 4)
12. 16x² - 20x - 6
= 16x² - 24x + 4x - 6
= 8x(2x - 3) + 2(2x - 3)
= (2x - 3)(8x + 2)
13. 7x² - 23x + 6
= 7x² - 21x - 2x + 6
= 7x(x - 3) - 2(x - 3)
= (x - 3)(7x - 2)
14. 7x² - 50x + 48
= 7x² - 42x - 8x + 48
= 7x(x - 6) - 8(x - 6)
= (x - 6)(7x - 8)
15. 21x² + 50x - 16
= 21x² + 56x - 6x - 16
= 7x(3x + 8) - 2(3x + 8)
= (3x + 8)(7x - 2)
16. 12x² + 28x + 8
= 12x² + 24x + 4x + 8
= 12x(x + 2) + 4(x + 2)
= (x + 2)(12x + 4)
17. 6x² - 13x - 15
= 6x² - 18x + 5x - 15
= 6x(x - 3) + 5(x - 3)
= (x - 3)(6x + 5)
18. 28x² - 46x + 16
= 28x² - 32x - 14x + 16
= 4x(7x - 8) - 2(7x - 8)
= (7x - 8)(4x - 2)
19. 16x² + 44x + 10
= 16x² + 4x + 40x + 10
= 4x(4x + 1) + 10(4x + 1)
= (4x + 1)(4x + 10)
20. 21x² + 25x - 4
= 21x² + 28x - 3x - 4
= 7x(3x + 4) - 1(3x + 4)
= (3x + 4)(7x - 1)
Answer:
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