If $8+2 p x^2-36 x-27^3=(2-3 x)^3$, then what is the value of p ?
Answer & explanation
Correct answer: option 1
8 + 2px2 – 36x – 27x3 = (2 – 3x)3
(a – b)3 = a3 – b3 – 3ab(a – b)
(2 – 3x)3 = (2)3 – (3x)3 – 3 × 2 × 3x (2 – 3x)
= 8 – 27x3 – 18x (2 – 3x)
= 8 – 27x3 – 36x + 54x2
Comparison the coefficient of both the equation, we get
8 + 2px2 – 36x – 27x3 = 8 – 27x3 – 36x + 54x2
= 2px2 = 54x2
= 2p = 54
= p = 27