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Popular Calculus >

factor t^3-6t^2+9t

Solution

factor

t^{3} - 6 t^{2} + 9 t

Solution

t (t - 3)^{2}

Solution steps

t^{3} - 6 t^{2} + 9 t

Factor out common term

t : t (t^{2} - 6 t + 9)

= t (t^{2} - 6 t + 9)

Factor

t^{2} - 6 t + 9 : (t - 3) (t - 3)

= t (t - 3) (t - 3)

Apply exponent rule:

aa = a^{2}

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

= t (t - 3)^{2}

Popular Examples

integral from 0 to infinity of e^{-t}

\int_{0}^{\infty} e^{- t} d t

derivative of 1/(2y)

d er i v a t i v e \frac{1}{2 y}

area y=(40)/x ,y=-9x+39

a re a y = \frac{40}{x}, y = - 9 x + 39

derivative of sqrt(6)x-sqrt(2x)

\frac{d}{d x} (6 x - 2 x)

integral from-5 to 6 of 0

\int_{- 5}^{6} 0

Frequently Asked Questions (FAQ)

What is factor t^3-6t^2+9t ?
The solution to factor t^3-6t^2+9t is t(t-3)^2