What is ((3-2x))/((20x^2-60x+45)) ?

The solution to ((3-2x))/((20x^2-60x+45)) is -1/(5(2x-3))

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simplify ((3-2x))/((20x^2-60x+45))

simplify

\frac{( 3 - 2 x )}{( 20 x ^{2} - 60 x + 45 )}

- \frac{1}{5 ( 2 x - 3 )}

Solution steps

\frac{3 - 2 x}{20 x ^{2} - 60 x + 45}

Factor

20 x^{2} - 60 x + 45 : 5 (2 x - 3)^{2}

= \frac{3 - 2 x}{5 ( 2 x - 3 ) ^{2}}

3 - 2 x = - (2 x - 3)

= \frac{- ( 2 x - 3 )}{5 ( 2 x - 3 ) ^{2}}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

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

= \frac{- ( 2 x - 3 )}{5 ( 2 x - 3 ) ( 2 x - 3 )}

Cancel the common factor:

2 x - 3

= \frac{- 1}{5 ( 2 x - 3 )}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{1}{5 ( 2 x - 3 )}

(x - 2)^{4} + x^{4}

\frac{x}{x ^{- 4}}

(x^{7} y^{- 9})^{6}

- 4 x^{2} - x

100 x^{4} - 140 x^{2} y^{2} + 49 y^{4}

What is ((3-2x))/((20x^2-60x+45)) ?
The solution to ((3-2x))/((20x^2-60x+45)) is -1/(5(2x-3))