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Paper 2 · June 2010 · Algebra and Equations

Remove brackets and simplify the expression $3(5 - x) - 2x(x + 3)$ .

Model answer

-2x^2 - 9x + 15

Also accepted: -2x^2-9x+15, 15 - 9x - 2x^2, 15-9x-2x^2

Explanation

Expanding each bracket,

3(5 - x) = 15 - 3x

and

2x(x + 3) = 2x^2 + 6x

. Subtracting the second from the first gives

15 - 3x - 2x^2 - 6x

, and collecting the two

x

terms gives

-2x^2 - 9x + 15

.

Derived from ZIMSEC Mathematics 4028/2, June 2010, Q1

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