Question

Пример: (a-b) (a+b) = a^2-b^2 (m+6)(6-m) (0,3-p)(0,3+p) (2x-1)(2x+1) (3p-k)(3p+k) (7-p)(7+p) (2c+1)(2c-1) (3t-y)(3t+1) (6x-5y)(6x+5y) (4x+3y)(4x-3y) (7p-2k)(7p+2k) (8y-3p)(8y+3p) (6x-2y)(6x+2y) (7p+9q)(7p+9q) (11x+12y)(11x-12y) (0,1x+6)(0,1x-6) (0,6p-2c) (0.6p+2c) (1.3x+3y) (1.3x-3y) (0.9-4y) (0.9+4y)

Answer 1

(m+6)(6-m)=36-m²
(0,3-p)(0,3+p)=0,09-p²
(2x-1)(2x+1)=4x²-1
(3p-k)(3p+k)=9p²-k²
(7-p)(7+p)=49-p²
(2c+1)(2c-1)=4c²-1
(3t-y)(3t+1)=проверь условие
(6x-5y)(6x+5y)=36х²-25у²
(4x+3y)(4x-3y)=16х²-9у²
(7p-2k)(7p+2k)=49р²-4k²
(8y-3p)(8y+3p)=64y²-9p²
(6x-2y)(6x+2y)=36x²-4y²
(7p-9q)(7p+9q)=49p²-81q²
(11x+12y)(11x-12y)=121x²-144y²
(0,1x+6)(0,1x-6)=0,01x²-36
(0,6p-2c) (0.6p+2c)=0,36p²-4c²
(1.3x+3y) (1.3x-3y)=1,69x²-9y²
(0.9-4y) (0.9+4y) =0,81-16y²

Answer 2

All the expressions you provided are examples of applying the difference of squares formula, which states that:

(a - b)(a + b) = a^2 - b^2

Let's simplify each of the expressions using the difference of squares formula:

1. (m + 6)(6 - m) = 6^2 - m^2 = 36 - m^2
2. (0.3 - p)(0.3 + p) = (0.3)^2 - p^2 = 0.09 - p^2
3. (2x - 1)(2x + 1) = (2x)^2 - 1^2 = 4x^2 - 1
4. (3p - k)(3p + k) = (3p)^2 - k^2 = 9p^2 - k^2
5. (7 - p)(7 + p) = 7^2 - p^2 = 49 - p^2
6. (2c + 1)(2c - 1) = (2c)^2 - 1^2 = 4c^2 - 1
7. (3t - y)(3t + y) = (3t)^2 - y^2 = 9t^2 - y^2
8. (6x - 5y)(6x + 5y) = (6x)^2 - (5y)^2 = 36x^2 - 25y^2
9. (4x + 3y)(4x - 3y) = (4x)^2 - (3y)^2 = 16x^2 - 9y^2
10. (7p - 2k)(7p + 2k) = (7p)^2 - (2k)^2 = 49p^2 - 4k^2
11. (8y - 3p)(8y + 3p) = (8y)^2 - (3p)^2 = 64y^2 - 9p^2
12. (6x - 2y)(6x + 2y) = (6x)^2 - (2y)^2 = 36x^2 - 4y^2
13. (7p + 9q)(7p + 9q) = (7p)^2 - (9q)^2 = 49p^2 - 81q^2
14. (11x + 12y)(11x - 12y) = (11x)^2 - (12y)^2 = 121x^2 - 144y^2
15. (0.1x + 6)(0.1x - 6) = (0.1x)^2 - 6^2 = 0.01x^2 - 36
16. (0.6p - 2c)(0.6p + 2c) = (0.6p)^2 - (2c)^2 = 0.36p^2 - 4c^2
17. (1.3x + 3y)(1.3x - 3y) = (1.3x)^2 - (3y)^2 = 1.69x^2 - 9y^2
18. (0.9 - 4y)(0.9 + 4y) = (0.9)^2 - (4y)^2 = 0.81 - 16y^2

All these examples show how to apply the difference of squares formula to simplify expressions in terms of squares of variables.