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

The solution to simplify-4x(x+3)(x-4)-3x(x^2-x+1) is -7x^3+7x^2+45x

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

simplify

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

- 7 x^{3} + 7 x^{2} + 45 x

Solution steps

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

Expand

- 4 x (x + 3) (x - 4) : - 4 x^{3} + 4 x^{2} + 48 x

= - 4 x^{3} + 4 x^{2} + 48 x - 3 x (x^{2} - x + 1)

Expand

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

= - 4 x^{3} + 4 x^{2} + 48 x - 3 x^{3} + 3 x^{2} - 3 x

Group like terms

= - 4 x^{3} - 3 x^{3} + 4 x^{2} + 3 x^{2} + 48 x - 3 x

Add similar elements:

- 4 x^{3} - 3 x^{3} = - 7 x^{3}

= - 7 x^{3} + 4 x^{2} + 3 x^{2} + 48 x - 3 x

Add similar elements:

4 x^{2} + 3 x^{2} = 7 x^{2}

= - 7 x^{3} + 7 x^{2} + 48 x - 3 x

Add similar elements:

48 x - 3 x = 45 x

= - 7 x^{3} + 7 x^{2} + 45 x

144 m^{2} - 9 n^{2}

d \frac{( ln ( x ) )}{( x + 1 )}

(\frac{5 x - 2}{3 y})^{3}

2 a - 3 b - 3 a - b

f (x) 3 x^{2} + x + 2

What is simplify-4x(x+3)(x-4)-3x(x^2-x+1) ?
The solution to simplify-4x(x+3)(x-4)-3x(x^2-x+1) is -7x^3+7x^2+45x