Saved Bookmarks
| 1. |
Write the following squares of binomials as trinomials:(i) (3x – 1/3x)2(ii) (x/y – y/x)2(iii) (3a/2 – 5b/4)2(iv) (a2b – bc2)2 |
|
Answer» (i) (3x – 1/3x)2 = (3x)2 – 2 (3x) (1/3x) + (1/3x)2 = 9x2 – 2 + 1/9x2 (ii) (x/y – y/x)2 = (x/y)2 – 2 (x/y) (y/x) + (y/x)2 = x2/y2 – 2 + y2/x2 (iii) (3a/2 – 5b/4)2 = (3a/2)2 – 2 (3a/2) (5b/4) + (5b/4)2 = 9/4a2 – 15/4ab + 25/16b2 (iv) (a2b – bc2)2 = (a2b)2 – 2 (a2b) (bc2) + (bc2)2 = a4b2 – 2a2b2c2 + b2c4 |
|