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

The solution to (2x-1)(x+4)-(2x-1)(3x+1) is -4x^2+8x-3

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

simplify

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

- 4 x^{2} + 8 x - 3

Solution steps

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

Expand

(2 x - 1) (x + 4) : 2 x^{2} + 7 x - 4

= 2 x^{2} + 7 x - 4 - (2 x - 1) (3 x + 1)

Expand

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

= 2 x^{2} + 7 x - 4 - 6 x^{2} + x + 1

Group like terms

= 2 x^{2} - 6 x^{2} + 7 x + x - 4 + 1

Add similar elements:

2 x^{2} - 6 x^{2} = - 4 x^{2}

= - 4 x^{2} + 7 x + x - 4 + 1

Add similar elements:

7 x + x = 8 x

= - 4 x^{2} + 8 x - 4 + 1

Add the numbers:

- 4 + 1 = - 3

= - 4 x^{2} + 8 x - 3

5 (3 x + 7)

28 - 318 + 432

2^{2} + 2^{2} + 2^{2}

\frac{( 7 - 5 i )}{1 - 5 i}

lo g_{10} (1 0^{- 12})

What is (2x-1)(x+4)-(2x-1)(3x+1) ?
The solution to (2x-1)(x+4)-(2x-1)(3x+1) is -4x^2+8x-3