Question

expand this equation
(1-x)^3​

Answer 1

Answer:

Step-by-step explanation:

Binomial formula for (a+b)3 ⇒3C 0 a 3 b 0 +3C 1 a 2 b 1 +3C2a 1 b 2 +3C 3 a 0 b 3 + ……..

Expand (x-1)3

So using the above formula we will expand (x-1)3

Here, a=x and b=-1.

⇒3C 0 x 3 +3C 1 x 2×(-1) 1 +3C 2 x 1 ×(-1) 2 +3C 3 ×(-1) 3

We know that

3C 0 =3C 3 =1

3C 1 =3C 2 =3

On substituting above values in the above equation we get

x 3 -3x 2 +3x – 1

Answer

(x-1)3= x 3 -3x 2 +3x – 1

Answer 2

Answer:

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Step-by-step explanation:

${(1 - x)}^{3} = {1}^{3} - {x}^{3} -3( {1}^{2} )(x) \\ +3(1)( {x}^{2} ) \\ = > 1 - {x}^{3} - 3x + 3 {x}^{2} \\ = > - {x}^{3}+ 3 {x}^{2} - 3x + 1$

Formula is there in image