1. kalena was asked to prove ifx(x - 1)(x + 1) = x3 - x represents a polynomial identity. she
states that this relationship is not true and the work she used to justify her thinking is shown.
step 1: x(x - 1)(x + 1)
step 2: (x2 + x)(x - 1)
step 3: x3 - x2 - x2 - x
step 4: x3 - 2x2 - x
which statement correctly describes kalena's justification?
a. kalena is correct. there are no mistakes in her justification.
b. kalena made a mistake in step 2. the justification should state: (2x - x)(x + 1).
c. kalena made a mistake in step 3. the justification should state: x
- x.
d. kalena made a mistake in step 4. the justification should state: x3 + 2x2 - x

C. Kalena made a mistake in Step 3. The justification should state: -x²

+ x²

Step-by-step explanation:

Given the function x(x - 1)(x + 1) = x3 - X

To justify kelena proof

We will need to show if the two equations are equal.

Starting from the RHS with function x³-x

First we will factor out the common factor which is 'x' to have;

x(x²-1)

Factorising x²-1 using the difference of two square will give;

x(x+1)(x-1)

Note that for two real number a and b, the expansion of a²-b² using difference vof two square will give;

a²-b² = (a+b)(a-b) hence;

Factorising x²-1 using the difference of two square will give;

x(x+1)(x-1)

Factorising x(x+1) gives x²+x, therefore

x(x+1)(x-1) = (x²+x)(x-1)

(x²+x)(x-1) = x³-x²+x²-x

The function x³-x²+x²-x gotten shows that kelena made a mistake in step 3, the justification should be -x²+x² not -x-x²

answer: 2x + 2 − 2 = 10 − 2; subtraction property of equality

step-by-step explanation:

x = -4

step-by-step explanation:

- 20 - 4(x + 3) = 4x

=> -20 - 4x - 12 = 4x

=> - 32 -4x = 4x

=> -32 = 4x + 4x

=> - 32 = 8x

=> -32/8 = x

=> -4 = x