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Algebraic Identities

Evaluate: p...

Question

Evaluate: $p^{3} + q^{3}$

(p - q) (p^{2} + q^{2} + p q)

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(p - q) (p^{2} + q^{2} - p q)

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(p + q) (p^{2} + q^{2} - p q)

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None of these

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Solution

The correct option is B $(p + q) (p^{2} + q^{2} - p q)$
$p^{3} + q^{3} = (p + q) (p^{2} + q^{2} - p q)$ (Using identity)

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p³+ q³ = ?

(i) (a^{2} + b^{2} + c^{2}) (2 a + 3 b)

(i i) (p + q) (p^{2} - p q + q^{2})

p³+ q³ + r³ – 3pqr = ?

P

Q

P Q = 0 \Rightarrow 1) P = 0

Q = 0

b o t h

P Q = I_{2} \Rightarrow P = Q^{- 1}

(P + Q)^{2} = P^{2} + 2 P Q + Q^{2}

2 \times 2

P Q = O \Rightarrow P = O

Q = O

P Q = I_{2} \Rightarrow P = Q^{- 1}

{(P + Q)}^{2} = P^{2} + 2 P Q + Q^{2}

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