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

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

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

simplify

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

8 x^{2} + 2

Solution steps

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

Expand

(2 x - 1)^{2} : 4 x^{2} - 4 x + 1

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

Expand

(2 x + 1)^{2} : 4 x^{2} + 4 x + 1

= 4 x^{2} - 4 x + 1 + 4 x^{2} + 4 x + 1

Group like terms

= 4 x^{2} + 4 x^{2} - 4 x + 4 x + 1 + 1

Add similar elements:

4 x^{2} + 4 x^{2} = 8 x^{2}

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

Add similar elements:

- 4 x + 4 x = 0

= 8 x^{2} + 1 + 1

Add the numbers:

1 + 1 = 2

= 8 x^{2} + 2

(\frac{1}{2} + \frac{2}{3})^{3}

- 105 + 80

2^{3} X 2^{4}

\frac{12 10}{5}

\frac{x ^{3} - x}{x}