Factories: x2 – x(a + 2b) + 2ab

1.	Factories: x2 – x(a + 2b) + 2ab
Answer» x² – x(a + 2b) + 2ab = x² – ax – 2bx + 2ab = x² – 2bx – ax + 2ab = (x² – 2bx) – (ax – 2ab) = x(x – 2b) – a(x – 2b) = (x – 2b)(x – a) So we get, x² – x(a + 2b) + 2ab = (x – 2b)(x – a)

Answer»

x² – x(a + 2b) + 2ab

= x² – ax – 2bx + 2ab

= x² – 2bx – ax + 2ab

= (x² – 2bx) – (ax – 2ab)

= x(x – 2b) – a(x – 2b)

= (x – 2b)(x – a)

So we get,

x² – x(a + 2b) + 2ab = (x – 2b)(x – a)

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