Question
Factorise:
(a + 2b)2 + 101(a + 2b) + 100
(a + 2b)2 + 101(a + 2b) + 100
✓
Answer
Given equation: (a + 2b)2 + 101(a + 2b) + 100
Let (a + 2b) = x
Then, we have
x2 + 101x + 100
= x2 + 100x + x + 100
= x(x + 100) + 1(x + 100)
= (x + 100)(x + 1)
= (a + 2b + 100)(a + 2b + 1)
Let (a + 2b) = x
Then, we have
x2 + 101x + 100
= x2 + 100x + x + 100
= x(x + 100) + 1(x + 100)
= (x + 100)(x + 1)
= (a + 2b + 100)(a + 2b + 1)
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