Question
Factorise:
4a2 - 9b2 - 2a - 3b
4a2 - 9b2 - 2a - 3b
✓
Answer
4a2 - 9b2 - 2a - 3b
= (2a)2 - (3b)2 - (2a + 3b)
= (2a - 3b)(2a + 3b) - (2a + 3b)
= (2a + 3b)(2a - 3b - 1)
= (2a)2 - (3b)2 - (2a + 3b)
= (2a - 3b)(2a + 3b) - (2a + 3b)
= (2a + 3b)(2a - 3b - 1)
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