CAIE IGCSE Mathematics Extended E2.3 Algebr…tions

Covered syllabus points

[Maximum number: 3]

Write as a single fraction in its simplest form.

\frac{3}{x-4}-\frac{4}{x+3}

$\frac{25-x}{(x-4)(x+3)}$
oe final answer

M1 for denominator (x-4)(x+3) or $x^2-x-12$ .
B1 for 3(x+3)-4(x-4) seen.

[Maximum number: 3]

f(x)=1-3x $g(x)=(x-1)^2$ $h(x)=\frac3x,\ x\ne0$

Find h(x)-f(x), giving your answer as a single fraction in its simplest form.

$\frac{3-x+3x^2}{x}$ final answer
B1 for 3-x(1-3x) or better
B1 for common denominator x isw

[Maximum number: 3]

Write as a single fraction in its simplest form.
$\frac5{3x+2}+\frac4{2x-1}$

$\frac{22x+3}{(3x+2)(2x-1)}$
B1 for numerator 22x+3
M1 for correct common denominator product

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