What is (8x-3)(2x-5)-(3x-8)(x-5) ?

The solution to (8x-3)(2x-5)-(3x-8)(x-5) is 13x^2-23x-25

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simplify (8x-3)(2x-5)-(3x-8)(x-5)

simplify

(8 x - 3) (2 x - 5) - (3 x - 8) (x - 5)

13 x^{2} - 23 x - 25

Solution steps

(8 x - 3) (2 x - 5) - (3 x - 8) (x - 5)

Expand

(8 x - 3) (2 x - 5) : 16 x^{2} - 46 x + 15

= 16 x^{2} - 46 x + 15 - (3 x - 8) (x - 5)

Expand

- (3 x - 8) (x - 5) : - 3 x^{2} + 23 x - 40

= 16 x^{2} - 46 x + 15 - 3 x^{2} + 23 x - 40

Group like terms

= 16 x^{2} - 3 x^{2} - 46 x + 23 x + 15 - 40

Add similar elements:

16 x^{2} - 3 x^{2} = 13 x^{2}

= 13 x^{2} - 46 x + 23 x + 15 - 40

Add similar elements:

- 46 x + 23 x = - 23 x

= 13 x^{2} - 23 x + 15 - 40

Subtract the numbers:

15 - 40 = - 25

= 13 x^{2} - 23 x - 25

(- 2 y^{- 3} z^{6})^{3}

(2 m - 5 n)^{3}

(3 x + 8)^{5}

(a + b - c)^{2} + (a - b - c)^{2} - 2 (b - c)

36 j^{2} - 100 k

What is (8x-3)(2x-5)-(3x-8)(x-5) ?
The solution to (8x-3)(2x-5)-(3x-8)(x-5) is 13x^2-23x-25