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

The solution to (2x+1)^2-2x(x-3) is 2x^2+10x+1

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

simplify

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

2 x^{2} + 10 x + 1

Solution steps

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

Expand

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

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

Expand

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

= 4 x^{2} + 4 x + 1 - 2 x^{2} + 6 x

Group like terms

= 4 x^{2} - 2 x^{2} + 4 x + 6 x + 1

Add similar elements:

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

= 2 x^{2} + 4 x + 6 x + 1

Add similar elements:

4 x + 6 x = 10 x

= 2 x^{2} + 10 x + 1

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

\frac{x ^{3} - 7 x + 6}{x - 2}

(- 6) + (- 3)

3 x - t - 2 x (x - t)

\frac{3}{6} \cdot \frac{2}{9}