What is 2x(4x-2)-x(3x+1)+x-4+2x^2 ?

The solution to 2x(4x-2)-x(3x+1)+x-4+2x^2 is 7x^2-4x-4

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simplify 2x(4x-2)-x(3x+1)+x-4+2x^2

simplify

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

7 x^{2} - 4 x - 4

Solution steps

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

Expand

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

= 8 x^{2} - 4 x - x (3 x + 1) + x - 4 + 2 x^{2}

Expand

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

= 8 x^{2} - 4 x - 3 x^{2} - x + x - 4 + 2 x^{2}

Group like terms

= 8 x^{2} - 3 x^{2} + 2 x^{2} - 4 x - x + x - 4

Add similar elements:

8 x^{2} - 3 x^{2} + 2 x^{2} = 7 x^{2}

= 7 x^{2} - 4 x - x + x - 4

Add similar elements:

- 4 x - x + x = - 4 x

= 7 x^{2} - 4 x - 4

- 2 y + 14 - 9 y + 5

2 (- 2 x - 4)

- 6 (z - 1)

\frac{a ^{2} + a - 20}{36 a - 9 a ^{2}}

5 x - 7.4 (x - 3) + 8.1

What is 2x(4x-2)-x(3x+1)+x-4+2x^2 ?
The solution to 2x(4x-2)-x(3x+1)+x-4+2x^2 is 7x^2-4x-4