Solve simultaneous linear equations: (i) 2a(2)x – bx + 2a(2) – b

Solve simultaneous linear equations:

(i) 2a²x – bx + 2a² – b
(ii) p² – (a + 2b)p + 2ab

Solution:

(i) 2a²x – bx + 2a² – b
Rearrange the above terms we get,
2a²x + 2a – bx – b
Take out common in both terms,
2a²(x + 1) – b(x + 1)
(x + 1) (2a² – b)
(ii) p² – (a + 2b)p + 2ab
p² – (a + 2b)p + 2ab
Above terms can be written as,
p² – ap – 2bp + 2ab
Take out common in both terms,
p(p – a) – 2b(p – a)
(p – a) (p – 2b)

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