What is (x-2)^2+(2x-1)^3 ?

The solution to (x-2)^2+(2x-1)^3 is 8x^3-11x^2+2x+3

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simplify (x-2)^2+(2x-1)^3

simplify

(x - 2)^{2} + (2 x - 1)^{3}

8 x^{3} - 11 x^{2} + 2 x + 3

Solution steps

(x - 2)^{2} + (2 x - 1)^{3}

Expand

(x - 2)^{2} : x^{2} - 4 x + 4

= x^{2} - 4 x + 4 + (2 x - 1)^{3}

Expand

(2 x - 1)^{3} : 8 x^{3} - 12 x^{2} + 6 x - 1

= x^{2} - 4 x + 4 + 8 x^{3} - 12 x^{2} + 6 x - 1

Group like terms

= 8 x^{3} + x^{2} - 12 x^{2} - 4 x + 6 x + 4 - 1

Add similar elements:

x^{2} - 12 x^{2} = - 11 x^{2}

= 8 x^{3} - 11 x^{2} - 4 x + 6 x + 4 - 1

Add similar elements:

- 4 x + 6 x = 2 x

= 8 x^{3} - 11 x^{2} + 2 x + 4 - 1

Subtract the numbers:

4 - 1 = 3

= 8 x^{3} - 11 x^{2} + 2 x + 3

(2 a^{5} + 4 b^{3})^{3}

24 - 2170 - 1 k n^{68}

55 x^{2} - 3 x + 2582 x^{2} - 9 x^{2}

\frac{( x ^{13} )}{( ( x ^{6} ) ( \frac{1}{x ^{3}} ) )}

2 x^{3} 54 x