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

The solution to 4(x-2)+x^2-x-(3-x)^2 is 9x-17

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

simplify

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

9 x - 17

Solution steps

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

Expand

4 (x - 2) : 4 x - 8

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

Expand

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

= 4 x - 8 + x^{2} - x - 9 + 6 x - x^{2}

Group like terms

= x^{2} - x^{2} + 4 x - x + 6 x - 8 - 9

Add similar elements:

x^{2} - x^{2} = 0

= 4 x - x + 6 x - 8 - 9

Add similar elements:

4 x - x + 6 x = 9 x

= 9 x - 8 - 9

Subtract the numbers:

- 8 - 9 = - 17

= 9 x - 17

csc^{2} (x) + cot^{2} (x) + 1

7 v \cdot u^{3} + 7 v^{2} + 7 v

(9 y^{3} + 8 y - 4) + (8 y^{2} - 7 y + 1)

3.5 x^{2} + 4.2 x

8 x^{3} - 8^{2}