What is 6x^2+6x+2-(2x-1)^2 ?

The solution to 6x^2+6x+2-(2x-1)^2 is 2x^2+10x+1

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simplify 6x^2+6x+2-(2x-1)^2

simplify

6 x^{2} + 6 x + 2 - (2 x - 1)^{2}

2 x^{2} + 10 x + 1

Solution steps

6 x^{2} + 6 x + 2 - (2 x - 1)^{2}

Expand

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

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

Group like terms

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

Add similar elements:

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

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

Add similar elements:

6 x + 4 x = 10 x

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

Subtract the numbers:

2 - 1 = 1

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

5 x^{2} + 31 x + 30

2^{2} + 2^{2}

(4 x^{3} + y^{3})^{2}

81 x^{4} y^{7} z + 24 x y z^{4}

\frac{( \frac{3}{4} )}{2}