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

The solution to (2x+1)(3x-2)-5(4x-1) is 6x^2-21x+3

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simplify (2x+1)(3x-2)-5(4x-1)

simplify

(2 x + 1) (3 x - 2) - 5 (4 x - 1)

6 x^{2} - 21 x + 3

Solution steps

(2 x + 1) (3 x - 2) - 5 (4 x - 1)

Expand

(2 x + 1) (3 x - 2) : 6 x^{2} - x - 2

= 6 x^{2} - x - 2 - 5 (4 x - 1)

Expand

- 5 (4 x - 1) : - 20 x + 5

= 6 x^{2} - x - 2 - 20 x + 5

Group like terms

= 6 x^{2} - x - 20 x - 2 + 5

Add similar elements:

- x - 20 x = - 21 x

= 6 x^{2} - 21 x - 2 + 5

Add the numbers:

- 2 + 5 = 3

= 6 x^{2} - 21 x + 3

(x + 3)^{2} + 2

60 a b^{5} - 105 a^{2} b^{4}

(x^{2} - 2 x + 3) (x^{2} + 2 x + 3)

2 x^{2} \cdot 3 x^{3}

75 x^{8} + 27 x^{8}

What is (2x+1)(3x-2)-5(4x-1) ?
The solution to (2x+1)(3x-2)-5(4x-1) is 6x^2-21x+3