What is (4x + 5) (4x-5) = 4 (2x + 3) square - (100x-17) 4 (2x + 3) squared is the multiplication of two 4 (2x + 3)

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• 1. Observe x ^ - 1, - 2x ^ - 2,4x ^ - 3, - 8x ^ - 4,16x ^ - 5 What do you find? 2. Write the nth formula according to the law. Use a simple process to prove the law you found
• 2. There is a column of numbers 1.3.6.10.15.21. The nth number is represented by an algebraic expression containing n
• 3. 1,3,6,10,15,21…… Please write the algebraic expression of item n
• 4. When n is 1, the algebra is 6, when n is 2, the algebraic formula is 10, when n is 3, the algebra is 15
• 5. Numbers 1, 3, 6, 10, 15, 21, 28, 36, 45, 55 Can it be expressed in an algebraic expression? Why?
• 6. Find the rule 3.9.15.21 () ()
• 7. Please find the law of these numbers: 3,6,10,15,21. What is the nth
• 8. As shown in the figure, in the triangle ABC, the angle ABC = 30 degrees, take BC and AC as sides, make equilateral △ BCD and equilateral △ ace, and connect be. To prove, AB square + BC square = be square
• 9. Given vector a = (1,1 / 2), vector b = (0, - 1 / 2), vector C = vector a + k * vector B, vector D = vector a-vector B, the angle between vector C and vector D is π / 4, find the value of real number k in detail
• 10. It is known that in △ ABC, BD bisects ∠ ABC, ed ‖ BC, EF ‖ AC, and it is proved that be = CF
• 11. (20x^3-8x^2+4x)/( )=5x^2-2x+1
• 12. (1) X ^ 2-6x + 9 / x ^ 2-4, where x = 3; (2) x ^ 2-4x / x ^ 2-8x + 16, where x = 5
• 13. x²+4x-2=0,x²-4x+1=0,(x+√5)(x-√5)=20,x²+6x+5=8x+7,25(2x-1)²-16=0,
• 14. Observe the characteristics of the following monomials: 1 / 2x & # 178; y, - 1 / 4x & # 178; Y & # 178;, 1 / 8x & # 178; Y & # 179;, - 1 / 16x & # 178; y Λ 4 (Λ table) Observe the characteristics of the following monomials: 1 / 2x-178; y, - 1 / 4x-178; y-178;, 1 / 8x-178; y-179;, - 1 / 16x-178; y-4 (Λ denotes power) . (1) Please write the eighth monomial according to this rule. How many times is it? (2) Try to guess: what is the nth monomial? What are its coefficients? How many times?
• 15. A group of monomials are: - 2x, 4x & # 178;, - 8x & # 179;,... Observe the law, infer that the nth monomials should be - Such as the title
• 16. What is the second power of - 1 + 5 × (1 / 3 + 1 / 2) × 2012 power of (- 1 / 4) × 2013 power of (- 1 / 4) emergency
• 17. Square of 1 + 2 + 2 + cubic of 2 +... + 2009 power of 2
• 18. If the absolute value of the square of (a + 2) + B-3 is equal to 0, what is the cubic power of a + B
• 19. What is the sixth power of X + the square of X? The square of X (X-Y) - Y (X-Y)
• 20. 1. A rectangle has an area of 8 / 9 square meters, a length of 5 / 6 meters and a width of () meters