Multiple Choice Questions

If p3 3p2 3p 7 then the value of p2 2p is ........

Quantitative Aptitude (CUET) Algebra

If p³ + 3p² + 3p = 7, then the value of p² + 2p is

p³ + 3p² + 3p = 7
⇒ p³ + 3p² + 3p + 1 = 7 + 1 = 8
⇒ (p + 1)³ = (2)³
⇒ p + 1= 2 ⇒ p = 1
∴ p² + 2p = 1 + 2 × 1 = 1 + 2 = 3.

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