A Perform the indicated operations. Examplos 1.27 1. (x-2)^2 (x+2)^3 1. (a+3)^2 4. (a-3)^2 5. (x-6)^4 6. (x-4)^2 7. (a-(1)/(2))^2 B. (a+(1)/(2))^2 0. (x+10)^3 10. (x-10)^2 11. (a+0)8)^2 12. (1) - ndji 13. (2x-1)^2 14. (3x+2)^2 15. (4a+5)^2 16. (4a-5)^2 17. (3x-2)^2 18. (2x-3)^2 19. (3a+5b)^2 20. (5a-3b)^2 21. (4x-5y)^2 22. 15x+4y^2 23. (7m+2n)^2 24. 2m-7n)^3 -Dor 28ma-An! 25. (6x-10y)^2 26. (10x+6y)^2 27. (x^2+5)^2 28. (x^2+3)^2 29. (a^2+1)^2 3D. (a^2-2)^2 31. (y+(3)/(2))^2 32. (y-(3)/(2))^2 33. (a+(1)/(2))^2 34. (a-(E)/(2))^2 35. (x+(3)/(4))^2 36. (x-(3)/(8))^2 37 (t+(1)/(5))^2 38. (t-(3)/(5))^2

1. Expand $(x-2)^2$<br /> Use the formula $(a-b)^2 = a^2 - 2ab + b^2$. $(x-2)^2 = x^2 - 4x + 4$.<br /><br />2. Expand $(x+2)^3$<br /> Use the formula $(a+b)^3 = a^3 + 3a^2b + 3ab^2 + b^3$. $(x+2)^3 = x^3 + 6x^2 + 12x + 8$.<br /><br />3. Expand $(a+3)^2$<br /> Use the formula $(a+b)^2 = a^2 + 2ab + b^2$. $(a+3)^2 = a^2 + 6a + 9$.<br /><br />4. Expand $(a-3)^2$<br /> Use the formula $(a-b)^2 = a^2 - 2ab + b^2$. $(a-3)^2 = a^2 - 6a + 9$.<br /><br />5. Expand $(x-6)^4$<br /> Use the binomial theorem: $(a-b)^4 = a^4 - 4a^3b + 6a^2b^2 - 4ab^3 + b^4$. $(x-6)^4 = x^4 - 24x^3 + 216x^2 - 864x + 1296$.<br /><br />6. Expand $(x-4)^2$<br /> Use the formula $(a-b)^2 = a^2 - 2ab + b^2$. $(x-4)^2 = x^2 - 8x + 16$.<br /><br />7. Expand $(a-\frac{1}{2})^2$<br /> Use the formula $(a-b)^2 = a^2 - 2ab + b^2$. $(a-\frac{1}{2})^2 = a^2 - a + \frac{1}{4}$.<br /><br />8. Expand $(a+\frac{1}{2})^2$<br /> Use the formula $(a+b)^2 = a^2 + 2ab + b^2$. $(a+\frac{1}{2})^2 = a^2 + a + \frac{1}{4}$.<br /><br />9. Expand $(x+10)^3$<br /> Use the formula $(a+b)^3 = a^3 + 3a^2b + 3ab^2 + b^3$. $(x+10)^3 = x^3 + 30x^2 + 300x + 1000$.<br /><br />10. Expand $(x-10)^2$<br /> Use the formula $(a-b)^2 = a^2 - 2ab + b^2$. $(x-10)^2 = x^2 - 20x + 100$.<br /><br />11. Expand $(a+0.8)^2$<br /> Use the formula $(a+b)^2 = a^2 + 2ab + b^2$. $(a+0.8)^2 = a^2 + 1.6a + 0.64$.<br /><br />12. Expand $(2x-1)^2$<br /> Use the formula $(a-b)^2 = a^2 - 2ab + b^2$. $(2x-1)^2 = 4x^2 - 4x + 1$.<br /><br />13. Expand $(3x+2)^2$<br /> Use the formula $(a+b)^2 = a^2 + 2ab + b^2$. $(3x+2)^2 = 9x^2 + 12x + 4$.<br /><br />14. Expand $(4a+5)^2$<br /> Use the formula $(a+b)^2 = a^2 + 2ab + b^2$. $(4a+5)^2 = 16a^2 + 40a + 25$.<br /><br />15. Expand $(4a-5)^2$<br /> Use the formula $(a-b)^2 = a^2 - 2ab + b^2$. $(4a-5)^2 = 16a^2 - 40a + 25$.<br /><br />16. Expand $(3x-2)^2$<br /> Use the formula $(a-b)^2 = a^2 - 2ab + b^2$. $(3x-2)^2 = 9x^2 - 12x + 4$.<br /><br />17. Expand $(2x-3)^2$<br /> Use the formula $(a-b)^2 = a^2 - 2ab + b^2$. $(2x-3)^2 = 4x^2 - 12x + 9$.<br /><br />18. Expand $(3a+5b)^2$<br /> Use the formula $(a+b)^2 = a^2 + 2ab + b^2$. $(3a+5b)^2 = 9a^2 + 30ab + 25b^2$.<br /><br />19. Expand $(5a-3b)^2$<br /> Use the formula $(a-b)^2 = a^2 - 2ab + b^2$. $(5a-3b)^2 = 25a^2 - 30ab + 9b^2$.<br /><br />20. Expand $(4x-5y)^2$<br /> Use the formula $(a-b)^2 = a^2 - 2ab + b^2$. $(4x-5y)^2 = 16x^2 - 40xy + 25y^2$.<br /><br />21. Expand $(15x+4y)^2$<br /> Use the formula $(a+b)^2 = a^2 + 2ab + b^2$. $(15x+4y)^2 = 225x^2 + 120xy + 16y^2$.<br /><br />22. Expand $(7m+2n)^2$<br /> Use the formula $(a+b)^2 = a^2 + 2ab + b^2$. $(7m+2n)^2 = 49m^2 + 28mn + 4n^2$.<br /><br />23. Expand $(2m-7n)^3$<br /> Use the formula $(a-b)^3 = a^3 - 3a^2b + 3ab^2 - b^3$. $(2m-7n)^3 = 8m^3 - 84m^2n + 294mn^2 - 343n^3$.<br /><br />24. Expand $(6x-10y)^2$<br /> Use the formula $(a-b)^2 = a^2 - 2ab + b^2$. $(6x-10y)^2 = 36x^2 - 120xy + 100y^2$.<br /><br />25. Expand $(10x+6y)^2$<br /> Use the formula $(a+b)^2 = a^2 + 2ab + b^2$. $(10x+6y)^2 = 100x^2 + 120xy + 36y^2$.<br /><br />26. Expand $(x^2+5)^2$<br /> Use the formula $(a+b)^2 = a^2 + 2ab + b^2$. $(x^2+5)^2 = x^4 + 10x^2 + 25$.<br /><br />27. Expand $(x^2+3)^2$<br /> Use the formula $(a+b)^2 = a^2 + 2ab + b^2$. $(x^2+3)^2 = x^4 + 6x^2 + 9$.<br /><br />28. Expand $(a^2+1)^2$<br /> Use the formula $(a+b)^2 = a^2 + 2ab + b^2$. $(a^2+1)^2 = a^4 + 2a^2 + 1$.<br /><br />29. Expand $(a^2-2)^2$<br /> Use the formula $(a-b)^2 = a^2 - 2ab + b^2$. $(a^2-2)^2 = a^4 - 4a^2 + 4$.<br /><br />30. Expand $(y+\frac{3}{2})^2$<br /> Use the formula $(a+b)^2 = a^2 + 2ab + b^2$. $(y+\frac{3}{2})^2 = y^2 + 3y + \frac{9}{4}$.<br /><br />31. Expand $(y-\frac{3}{2})^2$<br /> Use the formula $(a-b)^2 = a^2 - 2ab + b^2$. $(y-\frac{3}{2})^2 = y^2 - 3y + \frac{9}{4}$.<br /><br />32. Expand $(a+\frac{1}{2})^2$<br /> Use the formula $(a+b)^2 = a^2 + 2ab + b^2$. $(a+\frac{1}{2})^2 = a^2 + a + \frac{1}{4}$.<br /><br />33. Expand $(a-\frac{E}{2})^2$<br /> Use the formula $(a-b)^2 = a^2 - 2ab + b^2$. $(a-\frac{E}{2})^2 = a^2 - Ea + \frac{E^2}{4}$.<br /><br />34. Expand $(x+\frac{3}{4})^2$<br /> Use the formula $(a+b)^2 = a^2 + 2ab + b^2$. $(x+\frac{3}{4})^2 = x^2 + \frac{3}{2}x + \frac{9}{16}$.<br /><br />35. Expand $(x-\frac{3}{8})^2$<br /> Use the formula $(a-b)^2 = a^2 - 2ab + b^2$. $(x-\frac{3}{8})^2 = x^2 - \frac{3}{4}x + \frac{9}{64}$.<br /><br />36. Expand $(t+\frac{1}{5})^2$<br /> Use the formula $(a+b)^2 = a^2 + 2ab + b^2$. $(t+\frac{1}{5})^2 = t^2 + \frac{2}{5}t + \frac{1}{25}$.<br /><br />37. Expand $(t-\frac{3}{5})^2$<br /> Use the formula $(a-b)^2 = a^2 - 2ab + b^2$. $(t-\frac{3}{5})^2 = t^2 - \frac{6}{5}t + \frac{9}{25}$.