Date | November 2012 | Marks available | 4 | Reference code | 12N.1.hl.TZ0.2 |
Level | HL only | Paper | 1 | Time zone | TZ0 |
Command term | Expand and Simplify | Question number | 2 | Adapted from | N/A |
Question
Expand and simplify (xy−yx)4.
Markscheme
(xy−yx)4=(xy)4+4(xy)3(−yx)+6(xy)2(−yx)2+4(xy)(−yx)3+(−yx)4 (M1)(A1)
Note: Award M1 for attempt to expand and A1 for correct unsimplified expansion.
=x4y4−4x2y2+6−4y2x2+y4x4(=x8−4x6y2+6x4y4−4x2y6+y8x4y4) A1A1
Note: Award A1 for powers, A1 for coefficients and signs.
Note: Final two A marks are independent of first A mark.
[4 marks]
Examiners report
This was generally very well answered. Those who failed to gain full marks often made minor sign slips. A surprising number obtained the correct simplified expression, but continued to rearrange their expressions, often doing so incorrectly. Fortunately, there were no penalties for doing so.