1) (a + 8) ^2; 2) (b - 2) ^2; 3) (7 + c) ^2; 4) (6 - d) ^2; 5) (2m + 1) ^2; 6) (4x - 3) ^2; 7) (5m - 4n) ^2; 8) (10c + 7d) ^2; 9) (4x - 1/8y) ^2; 10) (0,3a + 0,9b) ^2; 11) (c^2 - 6) ^2; 12) (15 + k^2) ^2; 13) (m^2 - 3n) ^2; 14) (m^4 - n^3) ^2; 15) (5a^4 - 2a^7) ^2.

1) (a + 8) ^2;

(a+8) ^2=a^2+16a + 64

2) (b - 2) ^2;

(b-2) ^2=b^2-4b+4

3) (7 + c) ^2;

(7+c) ^2=49+4c+c^2

4) (6 - d) ^2;

(6-d) ^2=36-12d+d^2

5) (2m + 1) ^2;

(2m+1) ^2 = 4m^2+4m+1

6) (4x - 3) ^2;

(4x-3) ^2=16x^2-24x+9

7) (5m - 4n) ^2;

(5m-4n) ^2=25m^2-40mn+16n^2

8) (10c + 7d) ^2;

(10c+7d) ^2=100c^2+140cd+49d^2

9) (4x - 1/8y) ^2;

(4x-1/8y) ^2=16x^2-y+1/64y^2

10) (0,3a + 0,9b) ^2;

(0,3a+0,9b) = 0,09a^2+0,27ab+0,81b^2

11) (c^2 - 6) ^2;

(c^2-6) ^2=c^4-12c^2+36

12) (15 + k^2) ^2;

(15+k^2) ^2=225+30k^2+k^4

13) (m^2 - 3n) ^2;

(m^2-3n) ^2=m^4-6m^2 n+9n^2

14) (m^4 - n^3) ^2;

(m^4-n^3) = m^8-2m^4 n^3 + n^6

15) (5a^4 - 2a^7) ^2.

(5a^4-2a^7) ^2 = 25a^8-20a^11+4a^14

Применим формулу квадрата суммы и квадрата разности:

1) (a + 8) ^2=a^2+2*a*8+8^2=a^2+16a+64

2) (b - 2) ^2=b^2-2*b*2+2^2=b^2-4b+4

3) (7 + c) ^2=7^2+2*7*c+c^2=49+14c+c^2

4) (6 - d) ^2=6^2-2*6*d+d^2=36-12d+d^2

5) (2m + 1) ^2 = (2m) ^2+2*2m*1+1^2=4m^2+4m+1

6) (4x - 3) ^2 = (4x) ^2-2*4x*3+3^2=16x^2-24x+9

7) (5m - 4n) ^2 = (5m) ^2-2*5m*4 + (4n) ^2=25m^2-40mn+16n^2

8) (10c + 7d) ^2 = (10c) ^2+2*10c*7d + (7d) ^2=100c^2+140cd+49d^2

9) (4x - 1/8y) ^2 = (4x) ^2-2*4x * (1 / (8y)) + (1 / (8y)) ^2=16x^2-x/y+1 / (64y^2)

10) (0,3a + 0,9b) ^2) = (0,3a) ^2+2*0,3a*0,9b + (0,9b) ^2=0,09a^2+0,54ab+0,81b^2

11) (c^2 - 6) ^2 = (c^2) ^2-2*c^2*6 + 6^2=c^4-12c^2+36

12) (15 + k^2) ^2=15^2+2*15*k^2 + (k^2) ^2=225+30k^2+k^4

13) (m^2 - 3n) ^2 = (m^2) ^2-2*m^2*3n + (3n) ^2=m^4-6nm^2+9n^2

14) (m^4 - n^3) ^2 = (m^4) ^2-2 * (m^4) * (n^3) + (n^3) ^2=m^8-2 * (m^4) * (n^3) + n^6

15) (5a^4 - 2a^7) ^2 = (5a^4) ^2-2 * (5a^4) * (2a^7) + (2a^7) ^2=25a^8-20a^11+4a^14