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The identity a3+b3+c3−3abc=(a+b+c)(a2+b2+c2−ab−bc−ca) can be easily verified by expanding the right hand side. Using the above identity (or otherwise) answer the following: Factorize the expression: (p+2q−3r)3+(q+2r−3p)3+(r+2p−3q)3 (a) (p+q+r)(p2+q2+r2−2(pq+qr+pq)) (b) (p+q+r)(2p2+2q2+2r2−3(pq+qr+rp)) (c) 3(p+2q−3r)(q+2r−3p)(r+2p−3q) (d) None of these

The identity a3+b3+c3−3abc=(a+b+c)(a2+b2+c2−ab−bc−ca)
can be easily verified by expanding the right hand side.
Using the above identity (or otherwise) answer the following:
Factorize the expression:
(p+2q−3r)3+(q+2r−3p)3+(r+2p−3q)3

(a) (p+q+r)(p2+q2+r2−2(pq+qr+pq))

(b) (p+q+r)(2p2+2q2+2r2−3(pq+qr+rp))

(c) 3(p+2q−3r)(q+2r−3p)(r+2p−3q)

(d) None of these

Grade:12th pass

1 Answers

Pawan Prajapati
askIITians Faculty 60796 Points
2 months ago
Our expert is working on this Class VIII Maths answer. We will update the answer very soon.

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