What is factor 27-125a^3-135a+225a^2 ?

The solution to factor 27-125a^3-135a+225a^2 is -(5a-3)^3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 27-125a^3-135a+225a^2

factor

27 - 125 a^{3} - 135 a + 225 a^{2}

- (5 a - 3)^{3}

Solution steps

27 - 125 a^{3} - 135 a + 225 a^{2}

Write in the standard form

= - 125 a^{3} + 225 a^{2} - 135 a + 27

Factor out

- 1 : - (125 a^{3} - 225 a^{2} + 135 a - 27)

= - (125 a^{3} - 225 a^{2} + 135 a - 27)

Factor

125 a^{3} - 225 a^{2} + 135 a - 27 : (5 a - 3) (5 a - 3) (5 a - 3)

= - (5 a - 3) (5 a - 3) (5 a - 3)

Apply exponent rule:

aaa = a^{3}

(5 a - 3) (5 a - 3) (5 a - 3) = (5 a - 3)^{3}

= - (5 a - 3)^{3}

(- x + \frac{1}{5} - x^{3}) - (\frac{1}{2} x - x^{3} - \frac{4}{5})

lo g_{10} (a^{3}) b^{2} \cdot c^{5}

\frac{( 1 + x - 1 )}{x}

\frac{( 2 ^{n} + 2 ^{n - 1} )}{( 2 ^{n + 1} - 2 ^{n} )}

(d + 1)^{3}

What is factor 27-125a^3-135a+225a^2 ?
The solution to factor 27-125a^3-135a+225a^2 is -(5a-3)^3