What is (3x-2)(2x-3)-x(6x+13) ?

The solution to (3x-2)(2x-3)-x(6x+13) is -26x+6

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simplify (3x-2)(2x-3)-x(6x+13)

simplify

(3 x - 2) (2 x - 3) - x (6 x + 13)

- 26 x + 6

Solution steps

(3 x - 2) (2 x - 3) - x (6 x + 13)

Expand

(3 x - 2) (2 x - 3) : 6 x^{2} - 13 x + 6

= 6 x^{2} - 13 x + 6 - x (6 x + 13)

Expand

- x (6 x + 13) : - 6 x^{2} - 13 x

= 6 x^{2} - 13 x + 6 - 6 x^{2} - 13 x

Group like terms

= 6 x^{2} - 6 x^{2} - 13 x - 13 x + 6

Add similar elements:

6 x^{2} - 6 x^{2} = 0

= - 13 x - 13 x + 6

Add similar elements:

- 13 x - 13 x = - 26 x

= - 26 x + 6

(7 x + 3 y)^{3}

(u^{5})^{- 2}

(a^{- 2})^{- 1} 0

- 3 (2 x - 15)

10 x [- (- 2.5 + 7.5)]