Question

1 - X whole cube + 3 x minus 4 whole cube + 3 - 2 X whole cube​

Answer 1

I thing the answer is ---------

Answer 2

The simplified form is $18x^3-69x^2+87x-36$.

Step-by-step explanation:

Consider the provided expression.

$(1-x)^3+(3x-4)^3+(3-2x)^3$

Perfect cube formula: $\left(a-b\right)^3=a^3-3a^2b+3ab^2-b^3$

First solve each term separately by using the above formula.

$\left(1-x\right)^3=1^3-3\cdot \:1^2x+3\cdot \:1\cdot \:x^2-x^3\\\left(1-x\right)^3=1-3x+3x^2-x^3$

$\left(3x-4\right)^3=27x^3-108x^2+144x-64$

$\left(3-2x\right)^3=27-54x+36x^2-8x^3$

Now simplify as shown:

$1-3x+3x^2-x^3+27x^3-108x^2+144x-64+27-54x+36x^2-8x^3$

$18x^3-69x^2+87x-36$

Hence, the simplified form is $18x^3-69x^2+87x-36$.

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