What is 2x(5x+2)-(2x+1)(x-1)+(x+3)^2 ?

The solution to 2x(5x+2)-(2x+1)(x-1)+(x+3)^2 is 9x^2+11x+10

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simplify 2x(5x+2)-(2x+1)(x-1)+(x+3)^2

simplify

2 x (5 x + 2) - (2 x + 1) (x - 1) + (x + 3)^{2}

9 x^{2} + 11 x + 10

Solution steps

2 x (5 x + 2) - (2 x + 1) (x - 1) + (x + 3)^{2}

Expand

2 x (5 x + 2) : 10 x^{2} + 4 x

= 10 x^{2} + 4 x - (2 x + 1) (x - 1) + (x + 3)^{2}

Expand

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

= 10 x^{2} + 4 x - 2 x^{2} + x + 1 + (x + 3)^{2}

Expand

(x + 3)^{2} : x^{2} + 6 x + 9

= 10 x^{2} + 4 x - 2 x^{2} + x + 1 + x^{2} + 6 x + 9

Group like terms

= 10 x^{2} - 2 x^{2} + x^{2} + 4 x + x + 6 x + 1 + 9

Add similar elements:

10 x^{2} - 2 x^{2} + x^{2} = 9 x^{2}

= 9 x^{2} + 4 x + x + 6 x + 1 + 9

Add similar elements:

4 x + x + 6 x = 11 x

= 9 x^{2} + 11 x + 1 + 9

Add the numbers:

1 + 9 = 10

= 9 x^{2} + 11 x + 10

- x (3 x - 4 y) - 2 x y (3 x - 4 y) + 4 y (4 y - 3 x)

(w^{0} x^{5})^{- 1}

(2 x + 4)^{4}

\frac{2}{4 - 3}

12 + (- 10)

What is 2x(5x+2)-(2x+1)(x-1)+(x+3)^2 ?
The solution to 2x(5x+2)-(2x+1)(x-1)+(x+3)^2 is 9x^2+11x+10