Special product

A. Determine if each statement is true or false (1 point each). 1. (y + 6)2 = y2 + 12y + 36 2. The product of (x + 4)(x2 - 4x + 16) is a sum or difference of two cubes. 3. (y-2)3 = y3 - 6y2 + 12y - 6 4. (3x + 1) (9x + 3x + 1) = 27x3 + 1 5 . ( r t s + t ) 2 = 12 + 52+ +2 6. (m + 2) (m - 2) = m2 + 4 IBN SIENA PROPER 7. (m + n)3 = m3 + n3 8. (2a + 3b) (2a + 3b) = (2a + 3b)2 9. (2m + 1)(2m - 1) = 4m2 - 1 UNAUTHORIZED REPEAT 10. (a2 - y2)2 = a4 - y4 IS PROHIBITEDB. Fill in the blanks to make each statement true (1 point each). The product (4x - 9y)2 is a trinomial with When the trinomial 9x + 2y - 3z is squared: 1. the first term is equal to 4. the first term is 7. the fourth term is 2. the middle term is equal to 5. the second term is 8. the fifth term is 3. the last term is equal to 6. the third term is 9. the sixth term is 10. If we multiply the sum a + b and the difference a - b using the FOIL method, the inner and the outer products have a sum of 11. The first term of the product of 15x + 2 and 15x - 2 is 12. The last term in this product isC. Solving. Show all possible solution. No solution means wrong answer. a. Find each product. 1. (7mn2 + 2p3)2 (5 points) 2. (4x + 3y)3 (6 points) = 3. (3e - 5f) (3e + 5f)(9e2 + 25f2) (6 points). 4. (9a4 - 3a2b + b2)(3a2 + b) (5 points) =b. Find the area or related products (6 points). 10p 4q -3r 10p 49 -3r