Question

The value of algebraic expression x3-3x2y+9 , if x =-1,y =2

A. 

-2

B. 

2

C. 

14

D. 

9


​

Answer 1

Step-by-step explanation:

Some Standard Algebraic Identities list are given below: Identity I: (a + b)2 = a2 + 2ab + b2. Identity II: (a – b)2 = a2 – 2ab + b2. Identity III: a2 – b2= (a + b)(a – b) Identity IV: (x + a)(x + b) = x2 + (a + b) x + ab.

Answer 2

The value of algebraic equation is 14.

Step-by-step explanation:

$x^{3} + 3x^{2} y + 9$

Given,

We have a cubic polynomial and are also given with the values of x and y, we just have to sustitute the values of x and y in the given cubic polynomial.

x = -1

y = 2

Substituting the values of x and y in the given equation we will get the desired answer.

$-1^{3} +3(-1^{2})(2) + 9 =-1+ 3(1)(2) + 9 = 6+9-1 = 14$

Hence, the value of algebraic equation is 14. Option C is correct.