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Question

Write the following by using notation

(1) ab(a + b) + bc(b + c) + ca(c + a)

(2) a2 + b2 + c2 − ab − bc − ca

(3) x(y2 + z2) + y(z2 − x2) + z(x2 − y2)

(4) ab2 − ac2 − a2b + bc2 − cb2 + ca2

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Solution

(1) The given expression is .

Using , the expression can be written as

(2) The given expression is .

It can be written as

Using , the expression can be written as

(3) The given expression is

Using , the expression can be written as

(4) The given expression is .

It can be written as

Using , the expression can be written as


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