PRODUCTO DE BINOMIOS CON UN TÉRMINO COMÚN
1. (a + 2)(a + 3) = a² + a (2 + 3)+(2)(3)
= a² + 5a + 6
2. (x + 5)(x + 4) = (x)² – x (5 + 4) + (5)(4)
= x² + 9x + 20
3. (t + 2)(t - 3) = t² + t (2 – 3) + (2)(-3)
= t² - t - 6
- (a + 5)(a - 9) = a² + a (5 – 9) + (5)(-9)
= a² – 4a – 45
5. (x - 8)(x - 1) = (x)² + x(- 8 + -1) + (- 8)(- 1)
= x² - 9x + 8
6. (a - 7)( a – 9) = (a)² + a (-7 + -9) + (-7)(-9)
= a² - 16 a + 63
7. (x + 2)(x - 12) = (x)² + x(2 - 12) + (2)(-12)
= x² – 10x - 24
8. (x + 3)(x + 8) = x² + x(3 + 8) + (3)(8)
= x² + 11x + 24
9. (x – 4)(x - 6) = (x)² + x(- 4 + - 6) + (-4)(- 6)
= x² - 10x + 24
10. (x + 6)(x - 2) = (x)² + x(6 – 2) + (6)(-2)
= x² + 4x - 12
11. (x – 3)(x - 8) = (x)² + x(-3 + - 8) + (- 3) (- 8)
= x² - 11x + 24
12. (x – 13)(x + 2) = (x)² + x (-13 + 2) + (-13)(2)
= x² - 11x - 26
13.- (a – 7)(a + 12)= (a)² + a(-7)(12) +(- 7+ 12)
= a² + 5a - 84
14. (x² + 5)(x² + 3) = (x²)² + x²(5 + 3) + (5)(3)
= x⁴ + 8x² + 15
15. (a ² – 3)(a² + 4) = (a²) ² + a² (-3 + 4) + (- 3)(4)
= a⁴ + a² - 12
16. (2b + 5)(2b + 9) = (2b)² + 2b(5 + 9) + (5)(9)
= 4b² + 28b + 45
17. (6x - 3)(6x + 5)= (6x)² + 6x(-3 + 5) + (-3)(5)
= 36x² - 12x - 15
18. (2a + 3b)(2a + 5b) =
= (2a)² + 2a (3b + 5b) + (3b)(5b)
= 4a² + 16ab + 15b²
- (3a² – 2b)(3a² - 5b)=
= (3 a²) + 3a² (- 2b + - 5b) + (- 2b)(- 5b)
= 9a² - 21a²b + 10b²
20. (9x – 4)(9x + 11) =
= (9x)² + 9x (- 4 + 11) + (- 4)(+11) =
= 81x² + 63x - 44
21. (6x² – 2y)(6x² – 7y) =
= (6x²)² + 6x² (-2y + - 7y) + (- 2y)(- 7y) =
= 36x⁴ + 54x²y + 14y ²
22. (4a²b -3a)(4a² + 9a)
=(4a²b)² + 4a²b (- 3a + 9a) + (- 3a)(9a)
= 16a⁴b² – 24a³b - 27a²
- (a/4 – 2b)(a/4 – 6b)
= (a/4)² + a/4 (-2b + - 6b) + (- 2b)(- 6b)
= a²/16 – 2ab + 12b²
- (3a/5 – 5b)(3a/5 + 8b)
= (3a/5)² + 3a/5 (- 5b + 8b) + (- 5b)(8b)
= 9a²/25 – 9ab/5 – 40b²
- (3p/4 + 3q)(3p/4 + q)
= (3a/4)² + 3a/4 (3q + q) + (3q)(q)
= 9a²/16 + 12aq/4 + 3q²
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