Question

1. (9 + k )2 2. (10 – m )2 3. (n + 11 )2 4. (p – 12)2 5. (5d – 3 )2 6. (6h + 4 )2 7. (0,7k – 2 )2 8. (1/3m + 4n )2 9. m2 - k2 10. 9a2 - 16в2 11. 0,25х4 – 0,36у2 12. 0,49а6 - 1,44в2 СРОЧНО!!!!!!!!!! ДАМ 50+ БАЛЛОВ

Answer 1

Пошаговое объяснение:

1) 18+2k

2)20-2m

3) 2n+22

4) 2p-24

5)10d-6

6)12h+8

7)1,4k-4

8)1+8n

9)(m+k)2

10)(9a-8в)2

11)(0,25-0,36)2

12)(0,49a3-1,44b)2

Answer 2

1. (9 + k)2 To solve this expression, we need to first simplify the expression inside the parentheses: = (9 + k)(9 + k) Using the FOIL method (First, Outer, Inner, Last), we can expand the expression: = 9 * 9 + 9 * k + k * 9 + k * k = 81 + 9k + 9k + k^2 = k^2 + 18k + 81

2. (10 – m)2 Similarly, we simplify the expression inside the parentheses: = (10 - m)(10 - m) Using the FOIL method: = 10 * 10 - 10 * m - m * 10 + m * m = 100 - 10m - 10m + m^2 = m^2 - 20m + 100

3. (n + 11)2 Expanding the expression: = (n + 11)(n + 11) = n * n + n * 11 + 11 * n + 11 * 11 = n^2 + 11n + 11n + 121 = n^2 + 22n + 121

4. (p - 12)2 Expanding the expression: = (p - 12)(p - 12) = p * p + p * (-12) + (-12) * p + (-12) * (-12) = p^2 - 12p - 12p + 144 = p^2 - 24p + 144

5. (5d - 3)2 Expanding the expression: = (5d - 3)(5d - 3) = 5d * 5d + 5d * (-3) + (-3) * 5d + (-3) * (-3) = 25d^2 - 15d - 15d + 9 = 25d^2 - 30d + 9

6. (6h + 4)2 Expanding the expression: = (6h + 4)(6h + 4) = 6h * 6h + 6h * 4 + 4 * 6h + 4 * 4 = 36h^2 + 24h + 24h + 16 = 36h^2 + 48h + 16

7. (0.7k - 2)2 Expanding the expression: = (0.7k - 2)(0.7k - 2) = 0.7k * 0.7k + 0.7k * (-2) + (-2) * 0.7k + (-2) * (-2) = 0.49k^2 - 1.4k - 1.4k + 4 = 0.49k^2 - 2.8k + 4

8. (1/3m + 4n)2 Expanding the expression: = (1/3m + 4n)(1/3m + 4n) = (1/3m)^2 + (1/3m)(4n) + (4n)(1/3m) + (4n)^2 = 1/9m^2 + 4/3mn + 4/3mn + 16n^2 = 1/9m^2 + 8/3mn + 16n^2

9. m^2 - k^2 This expression represents the difference of two squares and can be factored using the formula a^2 - b^2 = (a + b)(a - b): = (m + k)(m - k)

10. 9a^2 - 16b^2 Similar to the previous expression, this is also a difference of squares: = (3a + 4b)(3a - 4b)

11. 0.25x^4 - 0.36y^2 This expression cannot be factored further.

12. 0.49a^6 - 1.44b^2 Similarly, this expression cannot be factored further.

I hope this helps!