Question

Упростите выражение: (5m−9)(−9n−2)+(−6m+6)(−6n+4) (3a+5b)(6a+5b)+(−7a−8b)(−5a−8b) (−4c−3)(2c+3)−(5c−9)(−9c−2) (6c+6)(3c−3)−(6c−4)(c−8) 4x(6x−7)(−8x^2+8) (−5x−3y)(−8x+1)−(−8x−2y)(−3x+9) −1x(5x−4)(5x^2+7) (−5a−4b)(7a−4b)+(−4a−3b)(2a+3b) (7m−8)(−n+1)+(−7m+9)(−9n−7) −8x^2(5x+8)(6x^2+5) −1c^2(9c−4)(c−5) 3a^2(−5a^2−3)(5a^2−3) −6x^3(−2x+8)(−9x^2+9) (−a+9b)(5a+b)+(6a+6b)(3a−3b) −2c(−9c−2)(−7c−9) −5c(5c+3)(c+7)

Answer 1

а)(5m-9)(-9n-2)+(-6m+6)(-6n+4)=-45mn+18+36mn+24=-9mn+42

б) (3a+5b)(6a+5b)+(-7a-8b)(-5a-8b)=18a^2+25b^2+30ab+25b^2+35a^2+64b^a=53a^2+30ab+114b^2

в) (-4c-3)(2c+3)-(5c-9)(-9c-2)=-8c^2-12c-6c-9-(-45c^2)-10c+45c+18=-53c^2-6c-9+55c=9+53c^2-49c

г) (6с+6)(3с-3)-(6с-4)(с-8)=18с-18+18с-18-6с^2-48c-4c+32=36c-44c-6c^2-48c=-56c-6c^2

d) 4x(6x-7)(-8x^2+8)=(24x^2-28x)(-8x^2+8)=-192x^4+192x^2+224x^3-224x

теперь сам и решай

Answer 2

To simplify each expression, follow the basic rules of algebra for expanding and combining like terms. Here are the simplified expressions for each of the given expressions:

1. (5m−9)(−9n−2)+(−6m+6)(−6n+4) Simplified: -45mn + 10m + 18n - 52

2. (3a+5b)(6a+5b)+(−7a−8b)(−5a−8b) Simplified: 19a^2 + 2ab + 65b^2

3. (−4c−3)(2c+3)−(5c−9)(−9c−2) Simplified: -2c^2 + 1

4. (6c+6)(3c−3)−(6c−4)(c−8) Simplified: 12c^2 - 42c + 48

5. 4x(6x−7)(−8x^2+8) Simplified: -192x^4 + 240x^3 - 224x^2 + 224x

6. (−5x−3y)(−8x+1)−(−8x−2y)(−3x+9) Simplified: -35x^2 + 53xy + 11y^2

7. −1x(5x−4)(5x^2+7) Simplified: -5x^4 + 13x^3 + 4x^2 - 7x

8. (−5a−4b)(7a−4b)+(−4a−3b)(2a+3b) Simplified: -33a^2 + 9ab + 12b^2

9. (7m−8)(−n+1)+(−7m+9)(−9n−7) Simplified: -7n^2 + 90n - 63

10. −8x^2(5x+8)(6x^2+5) Simplified: -240x^5 - 320x^4 - 80x^3 - 400x^2

11. −1c^2(9c−4)(c−5) Simplified: -9c^4 + 41c^3 - 20c^2

12. 3a^2(−5a^2−3)(5a^2−3) Simplified: -15a^6 + 6a^4 + 9a^2

13. −6x^3(−2x+8)(−9x^2+9) Simplified: -108x^6 + 666x^5 - 900x^4 + 2376x^3 - 216x^2

14. (−a+9b)(5a+b)+(6a+6b)(3a−3b) Simplified: -6a^2 + 36ab + 54b^2

15. −2c(−9c−2)(−7c−9) Simplified: -126c^3 + 131c^2 + 18c

16. −5c(5c+3)(c+7) Simplified: -25c^3 - 130c^2 - 105c

Make sure to double-check the expressions to avoid any computational errors.