Question
Factorise:
1 + 2ab - (a2 + b2)
1 + 2ab - (a2 + b2)
✓
Answer
1 + 2ab - (a2 + b2)
= 1 - (a2 + b2 - 2ab)
= (1)2 - (a - b)2
= [1 - (a - b)][1 + (a - b)]
= (1 - a + b)(1 + a - b)
= 1 - (a2 + b2 - 2ab)
= (1)2 - (a - b)2
= [1 - (a - b)][1 + (a - b)]
= (1 - a + b)(1 + a - b)
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