Question

The factors of the expression -13 qr is _______​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

How do you factor this (p-q) ^3+(q-r) ^3+(r-p) ^3?

Born between 1970-1990?

Note that p=q makes the value of the expression 0. Therefore p-q is a factor. Symmetry guarantees that q-r and r-p are also factors. The degree of the expression is 3 and the degree of (p-q)(q-r)(r-p) is also 3. Therefore

(p−q)3+(q−r)3+(r−p)3=K(p−q)(q−r)(r−p)

where K is some number.

It is not complicated to continue. The expression, when expanded contains a 3p2q . The coefficient of p2q , in the proposed factored form is K and so K=3. Thus

(p−q)3+(q−r)3+(r−p)3=3(p−q)(q−r)(r−p)

Step-by-step explanation:

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