P3-q3-r3-3 p q r-A- p-q-r3B- 3pqr C- p-q-rp2-q2-r2-p q-q r-p rD- p-q-r3

The correct option is C (p + q + r)(p2 + q2 + r2 – pq – qr pr) We know the cubic identity according to which, p3+ q3 + r3 – 3pqr = (p + q + r)(p2 + q2 + r2 ...

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Standard IX

Mathematics

Identity Matrix

p3+q3+r3-3 p ...

Question

p³+ q³ + r³ – 3pqr = ?

(p + q +r)³

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(p - q - r)³

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3pqr

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(p + q + r)(p² + q² + r² – pq – qr - pr)

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Solution

The correct option is D
(p + q + r)(p² + q² + r² – pq – qr - pr)

We know the cubic identity according to which,

p³+ q³ + r³ – 3pqr = (p + q + r)(p² + q² + r² – p q – q r - pr)

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Similar questions

Q. If

p = - 2, q = 1

and

r = 3

find the value of
( a )

p^{2} + q^{2} - r^{2}

( b )

p - q - r

( c )

p^{3} + q^{3} + r^{3} + 3 p q r

Q. Factorise:

p^{3} {(q - r)}^{3} + q^{3} {(r - p)}^{3} + r^{3} {(p - q)}^{3}

Q. Factorise: (p − q)³ + (q − r)³ + (r− p)³

Q. Factories

(p - q)^{3} + (q - r)^{3} + (r - p)^{3}

Q. Value of

(p - q)^{3} + (q - r)^{3} + (r - p)^{3}

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p3+ q3 + r3 – 3pqr = ?

The correct option is D (p + q + r)(p2 + q2 + r2 – pq – qr - pr) We know the cubic identity according to which, p3+ q3 + r3 – 3pqr = (p + q + r)(p2 + q2 + r2 – p q – q r - pr)

p³+ q³ + r³ – 3pqr = ?

The correct option is D
(p + q + r)(p² + q² + r² – pq – qr - pr)

We know the cubic identity according to which,

p³+ q³ + r³ – 3pqr = (p + q + r)(p² + q² + r² – p q – q r - pr)