What is (2x+1)(4-9x)-2x(3x+11) ?

The solution to (2x+1)(4-9x)-2x(3x+11) is -24x^2-23x+4

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simplify (2x+1)(4-9x)-2x(3x+11)

simplify

(2 x + 1) (4 - 9 x) - 2 x (3 x + 11)

- 24 x^{2} - 23 x + 4

Solution steps

(2 x + 1) (4 - 9 x) - 2 x (3 x + 11)

Expand

(2 x + 1) (4 - 9 x) : - 18 x^{2} - x + 4

= - 18 x^{2} - x + 4 - 2 x (3 x + 11)

Expand

- 2 x (3 x + 11) : - 6 x^{2} - 22 x

= - 18 x^{2} - x + 4 - 6 x^{2} - 22 x

Group like terms

= - 18 x^{2} - 6 x^{2} - x - 22 x + 4

Add similar elements:

- 18 x^{2} - 6 x^{2} = - 24 x^{2}

= - 24 x^{2} - x - 22 x + 4

Add similar elements:

- x - 22 x = - 23 x

= - 24 x^{2} - 23 x + 4

3 y^{2} - 10 y - 8

(x - y - z) (x + y + z)

\frac{7}{8} + \frac{5}{6}

\frac{7}{6 x} + \frac{1}{6 x ^{2}}

(x - y) \cdot (x + y)

What is (2x+1)(4-9x)-2x(3x+11) ?
The solution to (2x+1)(4-9x)-2x(3x+11) is -24x^2-23x+4