Question

Factorize (P-x)a+(x-P)b

Answer 1

(P-x)a+(x-P)b

pa-xa+xb-pb

pa-pb-xa+xb

p(a-b)-x(a-b)

p-x(a-b)

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Answer 2

(p-x)a+(x-p)b
= (p-x)a+(p-x)b
=(p-x)(a+b)