Question
Factorise:
9 - a2 + 2ab - b2
9 - a2 + 2ab - b2
✓
Answer
9 - a2 + 2ab - b2
= 9 - (a2 - 2ab + b2)
= 32 - (a - b)2 $\big[\therefore\ \text{a}^2-\text{b}^2=(\text{a}-\text{b})(\text{a}+\text{b})\big]$
= (3 + a - b)(3 - a + b)
= 9 - (a2 - 2ab + b2)
= 32 - (a - b)2 $\big[\therefore\ \text{a}^2-\text{b}^2=(\text{a}-\text{b})(\text{a}+\text{b})\big]$
= (3 + a - b)(3 - a + b)
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