What is (x+3)(4x-1)-(2x+1)(2x-3) ?

The solution to (x+3)(4x-1)-(2x+1)(2x-3) is 15x

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simplify (x+3)(4x-1)-(2x+1)(2x-3)

simplify

(x + 3) (4 x - 1) - (2 x + 1) (2 x - 3)

15 x

Solution steps

(x + 3) (4 x - 1) - (2 x + 1) (2 x - 3)

Expand

(x + 3) (4 x - 1) : 4 x^{2} + 11 x - 3

= 4 x^{2} + 11 x - 3 - (2 x + 1) (2 x - 3)

Expand

- (2 x + 1) (2 x - 3) : - 4 x^{2} + 4 x + 3

= 4 x^{2} + 11 x - 3 - 4 x^{2} + 4 x + 3

Group like terms

= 4 x^{2} - 4 x^{2} + 11 x + 4 x - 3 + 3

Add similar elements:

4 x^{2} - 4 x^{2} = 0

= 11 x + 4 x - 3 + 3

Add similar elements:

11 x + 4 x = 15 x

= 15 x - 3 + 3

Add the numbers:

- 3 + 3 = 0

= 15 x

81 + 36

- \frac{3}{2} - \frac{2}{3}

81 + 49

- 3 (- p + 2) - \frac{5}{4} p

- 8 b + 15 b + 14

What is (x+3)(4x-1)-(2x+1)(2x-3) ?
The solution to (x+3)(4x-1)-(2x+1)(2x-3) is 15x