Question
Factorise:
9a2 + 6a + 1 - 36b2
9a2 + 6a + 1 - 36b2
✓
Answer
9a2 + 6a + 1 - 36b2
= (9a2 + 6a + 1) - 36b2
= [(3a)2 + 2(3a)(1) + (1)2] - (6b)2
= (3a + 1)2 - (6b)2
= (3a + 1 - 6b)(3a + 1 + 6b)
= (9a2 + 6a + 1) - 36b2
= [(3a)2 + 2(3a)(1) + (1)2] - (6b)2
= (3a + 1)2 - (6b)2
= (3a + 1 - 6b)(3a + 1 + 6b)
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