What is 6x(2x-3)-5(2x^2+9x-3) ?

The solution to 6x(2x-3)-5(2x^2+9x-3) is 2x^2-63x+15

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simplify 6x(2x-3)-5(2x^2+9x-3)

simplify

6 x (2 x - 3) - 5 (2 x^{2} + 9 x - 3)

2 x^{2} - 63 x + 15

Solution steps

6 x (2 x - 3) - 5 (2 x^{2} + 9 x - 3)

Expand

6 x (2 x - 3) : 12 x^{2} - 18 x

= 12 x^{2} - 18 x - 5 (2 x^{2} + 9 x - 3)

Expand

- 5 (2 x^{2} + 9 x - 3) : - 10 x^{2} - 45 x + 15

= 12 x^{2} - 18 x - 10 x^{2} - 45 x + 15

Group like terms

= 12 x^{2} - 10 x^{2} - 18 x - 45 x + 15

Add similar elements:

12 x^{2} - 10 x^{2} = 2 x^{2}

= 2 x^{2} - 18 x - 45 x + 15

Add similar elements:

- 18 x - 45 x = - 63 x

= 2 x^{2} - 63 x + 15

11 \cdot (- 6)

11 \cdot (- 1)

9 x - 25 x^{3}

3 x^{3} - 4 x^{2}

i^{456}

What is 6x(2x-3)-5(2x^2+9x-3) ?
The solution to 6x(2x-3)-5(2x^2+9x-3) is 2x^2-63x+15