PREC11 Unit1 notes

# 23 x 42 24 y 4y 4 25 a 52 26 3t 13t

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Unformatted text preview: 4) − (3x + 2)(3x − 1) 20. 3(2a + 3)(2a − 1) − 4(a2 − 7) 21. (x − 3)(x2 − 3x − 2) 22. (2t + 1)(3t2 − t − 1) Unit 1 − Day 1: Polynomial Review Exercises (continued) PRE-CALCULUS 11 Expand. 23. (x + 4)2 24. (y − 4)(y + 4) 25. (a − 5)2 26. (3t + 1)(3t − 1) 27. (2x − 3y)2 28. (5a + 3b)(5a − 3b) 29. 2(3m + 1)2 30. (1 − 2x)3 Expand and simplify. 31. (m − 3)(m + 3) + (m − 4)2 32. (x − 6)2 − (x + 5)(x − 5) 33. 3(2t + 1)2 + 2(3t − 1)(3t + 1) 34. 2(3x + 2y)(3x − 2y) − 3(3x − y)2 35. a) When two numbers that differ by 2 were multiplied by squaring their average, then subtracting 1. How does the product of the sum and difference (x + 1)(x − 1) explain the method? b) Develop a similar method for multiplying two numbers that differ by 6. c) Show how the product of a sum and difference explains your method from part b). ANSWERS 1. 5x − 3y 2 . 8 x2 − 4 x + 3 3. −a2 − 6a − 8 4. m2 + 3mn + n2 5. −12x4y4 6. 24r2s4t6 7. −4a 8 . 4 n 3p 9. 8x +...
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