What is 2(x-3)^3-6x+13 ?

The solution to 2(x-3)^3-6x+13 is 2x^3-18x^2+48x-41

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simplify 2(x-3)^3-6x+13

simplify

2 (x - 3)^{3} - 6 x + 13

2 x^{3} - 18 x^{2} + 48 x - 41

Solution steps

2 (x - 3)^{3} - 6 x + 13

Expand

2 (x - 3)^{3} : 2 x^{3} - 18 x^{2} + 54 x - 54

= 2 x^{3} - 18 x^{2} + 54 x - 54 - 6 x + 13

Group like terms

= 2 x^{3} - 18 x^{2} + 54 x - 6 x - 54 + 13

Add similar elements:

54 x - 6 x = 48 x

= 2 x^{3} - 18 x^{2} + 48 x - 54 + 13

Add the numbers:

- 54 + 13 = - 41

= 2 x^{3} - 18 x^{2} + 48 x - 41

6 \times 6 \times 6 \times 6 \times 6 \times 6

\frac{1}{10} \times 4

\frac{1}{10} \times 2

6 k + 2 - k + 3

\frac{63}{84}