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Elements of arithmetic

Note 29 — BOOK I. (continued 3)

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If bx be substituted for a in any expression which is homogeneous with respect to a and b, the pupil may easily see that b must occur in every term as often as there are units in the degree of the expression: thus, aa + ab becomes bxbx + bxb or bb(xx + x); aaa + bbb becomes bxbxbx + bbb or bbb(xxx + 1); and so on.

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