What is expand (1-sqrt(t))^3 ?

The solution to expand (1-sqrt(t))^3 is 1-3sqrt(t)+3t-tsqrt(t)

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expand (1-sqrt(t))^3

expand

(1 - t)^{3}

1 - 3 t + 3 t - t t

Solution steps

(1 - t)^{3}

Apply Perfect Cube Formula:

(a - b)^{3} = a^{3} - 3 a^{2} b + 3 a b^{2} - b^{3}

(1 - t)^{3} = 1^{3} - 3 \cdot 1^{2} t + 3 \cdot 1 \cdot (t)^{2} - (t)^{3}

= 1^{3} - 3 \cdot 1^{2} t + 3 \cdot 1 \cdot (t)^{2} - (t)^{3}

Simplify

1^{3} - 3 \cdot 1^{2} t + 3 \cdot 1 \cdot (t)^{2} - (t)^{3} : 1 - 3 t + 3 t - t t

= 1 - 3 t + 3 t - t t

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

\frac{2 ( 3 + 3 )}{3}

- \frac{2 x ( - x ^{2} - 12 )}{( x ^{2} - 4 ) ^{3}}

\frac{( 1 - 2 x ) ^{2}}{x}

z (x) + y (z (x), x) (x + z^{'} (x))

What is expand (1-sqrt(t))^3 ?
The solution to expand (1-sqrt(t))^3 is 1-3sqrt(t)+3t-tsqrt(t)