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Ratio

Write the fol...

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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