What is 4x(2x-1)+(2x-1)^2 ?

The solution to 4x(2x-1)+(2x-1)^2 is 12x^2-8x+1

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simplify 4x(2x-1)+(2x-1)^2

simplify

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

12 x^{2} - 8 x + 1

Solution steps

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

Expand

4 x (2 x - 1) : 8 x^{2} - 4 x

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

Expand

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

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

Group like terms

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

Add similar elements:

8 x^{2} + 4 x^{2} = 12 x^{2}

= 12 x^{2} - 4 x - 4 x + 1

Add similar elements:

- 4 x - 4 x = - 8 x

= 12 x^{2} - 8 x + 1

π \cdot \frac{π}{2}

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

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

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3 80 x - 4 45 x