What is 5x^2-x[5x-3x(x-8)-11]+3 ?

The solution to 5x^2-x[5x-3x(x-8)-11]+3 is 3x^3-24x^2+11x+3

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simplify 5x^2-x[5x-3x(x-8)-11]+3

simplify

5 x^{2} - x [5 x - 3 x (x - 8) - 11] + 3

3 x^{3} - 24 x^{2} + 11 x + 3

Solution steps

5 x^{2} - x (5 x - 3 x (x - 8) - 11) + 3

Expand

5 x - 3 x (x - 8) - 11 : - 3 x^{2} + 29 x - 11

= 5 x^{2} - x (- 3 x^{2} + 29 x - 11) + 3

Expand

- x (- 3 x^{2} + 29 x - 11) : 3 x^{3} - 29 x^{2} + 11 x

= 5 x^{2} + 3 x^{3} - 29 x^{2} + 11 x + 3

Group like terms

= 3 x^{3} + 5 x^{2} - 29 x^{2} + 11 x + 3

Add similar elements:

5 x^{2} - 29 x^{2} = - 24 x^{2}

= 3 x^{3} - 24 x^{2} + 11 x + 3

(6 - 4 i) + (5 + 3 i)

(3 b + 5 d)^{2}

- 863 + 112

572 - 98

9 x^{2} y + 4 y^{2} x - 3 y x^{2}

What is 5x^2-x[5x-3x(x-8)-11]+3 ?
The solution to 5x^2-x[5x-3x(x-8)-11]+3 is 3x^3-24x^2+11x+3