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Exercise 1.2 (Solutions)

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(5)(-3)-(-4)(-2),(5)(-2)+(-4)(-3))$ $=(-15-8,-10+12)=(-23,2)$ </panel> <panel> **Question 10 ** S... </panel> </col><col sm="6"> <panel> **Question 12 ** Simplify: $(5,-4)\div (-3,-8)$ **Solutions**... 8i}\times \dfrac{-3+8i}{-3+8i}$ $=\dfrac{-15+40i+12i-32{{i}^{2}}}{{{\left( -3 \right)}^{2}}-{{\left( ... t)}^{2}}}{\left( 1+i \right)}=\dfrac{4+9{{i}^{2}}-12i}{1+i}$ $=\dfrac{4-9-12i}{1+i}=\dfrac{-5-12i}{1+

Exercise 1.1 (Solutions)

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<panel> **Question 5** Prove that $$-\frac{7}{12}-\frac{5}{18}=\frac{-21-10}{36}$$. **Solution** \begin{align} L.H.S &= -\frac{7}{12}-\frac{5}{18}\\ &= -\frac{7}{12} \times 1 - \frac{5}{18} \times 1\\ &= -\frac{7}{12} \times \left(3 \times \frac{1}{3}\right)- \frac{