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Factorise : ab (c2  +1) + c (a2  + b2)

(a) (ab + c) (a + bc) 

(b) (ac + b) (ab + c) 

(c) (a + bc) (ac + b) 

(d) (a + b) (ac + b)

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Best answer

(c) (a + bc) (ac + b) 

ab (c2  +1) + c (a2  + b2)

= abc2 + ab + ca2 + cb2

= abc2 + ca2 + ab + cb2

= ac(bc + a) + b(a + bc)

= (a + bc)(ac + b)

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