What is {((4x^3-6x^2))/(2*x)}-(2x-3x^2) ?

The solution to {((4x^3-6x^2))/(2*x)}-(2x-3x^2) is 5x^2-5x

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simplify {((4x^3-6x^2))/(2*x)}-(2x-3x^2)

simplify

{\frac{( 4 x ^{3} - 6 x ^{2} )}{2 \cdot x}} - (2 x - 3 x^{2})

5 x^{2} - 5 x

Solution steps

(\frac{4 x ^{3} - 6 x ^{2}}{2 x}) - (2 x - 3 x^{2})

Apply rule:

(a) = a

(\frac{4 x ^{3} - 6 x ^{2}}{2 x}) = \frac{4 x ^{3} - 6 x ^{2}}{2 x}

= \frac{4 x ^{3} - 6 x ^{2}}{2 x} - (2 x - 3 x^{2})

\frac{4 x ^{3} - 6 x ^{2}}{2 x} = x (2 x - 3)

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

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

Expand

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

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

Add similar elements:

- 3 x - 2 x = - 5 x

= 2 x^{2} - 5 x + 3 x^{2}

Group like terms

= 2 x^{2} + 3 x^{2} - 5 x

Add similar elements:

2 x^{2} + 3 x^{2} = 5 x^{2}

= 5 x^{2} - 5 x

a^{3} \cdot b^{3} + \frac{1}{8}

lo g_{10} (n + 1) - lo g_{10} (n)

4 x y + 7 x y + (- 2 x y)

\frac{7 x ^{7} + 5 x ^{2}}{5 x}

2 b + 6 c + 2 a

What is {((4x^3-6x^2))/(2*x)}-(2x-3x^2) ?
The solution to {((4x^3-6x^2))/(2*x)}-(2x-3x^2) is 5x^2-5x