What is (4x-3)(2x+1)-8x(x-2) ?

The solution to (4x-3)(2x+1)-8x(x-2) is 14x-3

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simplify (4x-3)(2x+1)-8x(x-2)

simplify

(4 x - 3) (2 x + 1) - 8 x (x - 2)

14 x - 3

Solution steps

(4 x - 3) (2 x + 1) - 8 x (x - 2)

Expand

(4 x - 3) (2 x + 1) : 8 x^{2} - 2 x - 3

= 8 x^{2} - 2 x - 3 - 8 x (x - 2)

Expand

- 8 x (x - 2) : - 8 x^{2} + 16 x

= 8 x^{2} - 2 x - 3 - 8 x^{2} + 16 x

Group like terms

= 8 x^{2} - 8 x^{2} - 2 x + 16 x - 3

Add similar elements:

8 x^{2} - 8 x^{2} = 0

= - 2 x + 16 x - 3

Add similar elements:

- 2 x + 16 x = 14 x

= 14 x - 3

(- 5 - y) 2

\frac{( x ^{5} )}{( x ^{- 3} )}

\frac{( p ^{3} \cdot ( q - r ) ^{3} - q ^{3} \cdot ( p - r ) ^{3} - r ^{3} \cdot ( q - p ) ^{3} )}{( ( p - q ) ( r - q ) ( p - r ) )}

\frac{x ^{1}}{y}

\frac{x ^{1}}{x}