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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 (xyyx)4.

Markscheme

(xyyx)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.

 

=x4y44x2y2+64y2x2+y4x4(=x84x6y2+6x4y44x2y6+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.

 

Syllabus sections

Topic 1 - Core: Algebra » 1.3 » The binomial theorem: expansion of (a+b)n, nN .
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