Question

6)(7-y)^2 7)(x+0,2)^2 8)(y-0,3)^2 9)(2a+1)^2 10)(3b-1)^2 11)(6+7p)^2 12)(4-3n)^2

Answer 1

6) 49-14y+y²

7) x²+0,4x+0,04

8) y²-0,6y+0,09

9) 4a²+4a+1

10) 9b²-6b+1

11) 36+84p+49p²

12) 16-24n+9n²

Answer 2

To simplify each of the given expressions, we'll apply the square of a binomial formula:

1. (7 - y)^2 = (7 - y)(7 - y) = 49 - 7y - 7y + y^2 = 49 - 14y + y^2

2. (x + 0.2)^2 = (x + 0.2)(x + 0.2) = x^2 + 0.2x + 0.2x + 0.04 = x^2 + 0.4x + 0.04

3. (y - 0.3)^2 = (y - 0.3)(y - 0.3) = y^2 - 0.3y - 0.3y + 0.09 = y^2 - 0.6y + 0.09

4. (2a + 1)^2 = (2a + 1)(2a + 1) = 4a^2 + 2a + 2a + 1 = 4a^2 + 4a + 1

5. (3b - 1)^2 = (3b - 1)(3b - 1) = 9b^2 - 3b - 3b + 1 = 9b^2 - 6b + 1

6. (6 + 7p)^2 = (6 + 7p)(6 + 7p) = 36 + 42p + 42p + 49p^2 = 49p^2 + 84p + 36

7. (4 - 3n)^2 = (4 - 3n)(4 - 3n) = 16 - 12n - 12n + 9n^2 = 9n^2 - 24n + 16

If you have any more expressions you'd like to simplify or any other questions, feel free to ask!