Question

6. The degree of the polynomial p (x) = (x- 2)³ -x³is my friend is saying 2 so i need full solution.​

Answer 1

Step-by-step explanation:

(x- 2)³ -x³

By using identity :

(a - b)³ = a³ - b³ - 3ab (a - b)

= [x³ - 2³ - 3 × x × 2(x - 2)] - x³

= x³ - 3 - 6x² + 6 - x³

= 6x² + 3

Hence, the degree of polynomial is 2.

Answer 2

Answer:

yes your friend is correct dear

Step-by-step explanation:

if you open the bracket

(x-2)³-x³

(x³-8 - 3*x²*2 - 3*x*2²) - x³

-6x²-12x-8

$(x - y)3 = x3 - y3 - 3 {x}^{2} y - 3 {y}^{2} x$

so ,its a two degree polynomial