What is (5x-7)(3x-2)-(4x-5)(6x-1) ?

The solution to (5x-7)(3x-2)-(4x-5)(6x-1) is -9x^2+3x+9

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simplify (5x-7)(3x-2)-(4x-5)(6x-1)

simplify

(5 x - 7) (3 x - 2) - (4 x - 5) (6 x - 1)

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

Solution steps

(5 x - 7) (3 x - 2) - (4 x - 5) (6 x - 1)

Expand

(5 x - 7) (3 x - 2) : 15 x^{2} - 31 x + 14

= 15 x^{2} - 31 x + 14 - (4 x - 5) (6 x - 1)

Expand

- (4 x - 5) (6 x - 1) : - 24 x^{2} + 34 x - 5

= 15 x^{2} - 31 x + 14 - 24 x^{2} + 34 x - 5

Group like terms

= 15 x^{2} - 24 x^{2} - 31 x + 34 x + 14 - 5

Add similar elements:

15 x^{2} - 24 x^{2} = - 9 x^{2}

= - 9 x^{2} - 31 x + 34 x + 14 - 5

Add similar elements:

- 31 x + 34 x = 3 x

= - 9 x^{2} + 3 x + 14 - 5

Subtract the numbers:

14 - 5 = 9

= - 9 x^{2} + 3 x + 9

636

\frac{3}{16} + \frac{3}{16}

7 x 6 - 9 6 x^{2}

616

- (x + 1)^{3}

What is (5x-7)(3x-2)-(4x-5)(6x-1) ?
The solution to (5x-7)(3x-2)-(4x-5)(6x-1) is -9x^2+3x+9