What is 6x(3x-8)-3x(-11x+9) ?

The solution to 6x(3x-8)-3x(-11x+9) is 51x^2-75x

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simplify 6x(3x-8)-3x(-11x+9)

simplify

6 x (3 x - 8) - 3 x (- 11 x + 9)

51 x^{2} - 75 x

Solution steps

6 x (3 x - 8) - 3 x (- 11 x + 9)

Expand

6 x (3 x - 8) : 18 x^{2} - 48 x

= 18 x^{2} - 48 x - 3 x (- 11 x + 9)

Expand

- 3 x (- 11 x + 9) : 33 x^{2} - 27 x

= 18 x^{2} - 48 x + 33 x^{2} - 27 x

Group like terms

= 18 x^{2} + 33 x^{2} - 48 x - 27 x

Add similar elements:

18 x^{2} + 33 x^{2} = 51 x^{2}

= 51 x^{2} - 48 x - 27 x

Add similar elements:

- 48 x - 27 x = - 75 x

= 51 x^{2} - 75 x

s^{2} - 6 s + 8

x^{2} + x^{4}

15 b^{2} + 20 b - 30

(4 x - 6)^{3}

\frac{400 π ^{2} ( l + \frac{d}{2} )}{t ^{2}}