What is expand (x-1)^2sqrt(x-1) ?

The solution to expand (x-1)^2sqrt(x-1) is x^2sqrt(x-1)-2xsqrt(x-1)+sqrt(x-1)

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expand (x-1)^2sqrt(x-1)

expand

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

x^{2} x - 1 - 2 x x - 1 + x - 1

Solution steps

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

Expand

(x - 1)^{2} : x^{2} - 2 x + 1

= (x^{2} - 2 x + 1) x - 1

= x - 1 (x^{2} - 2 x + 1)

Apply the distributive law:

m (a + b + c) = ma + mb + m c

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

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

Simplify

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

= x^{2} x - 1 - 2 x x - 1 + x - 1

((x^{3} + 3 x^{2} h + 3 x h^{2} + h^{3}) - 2) tan (x + h)

(4 x - 3) (x - 2 + i) (x + 2 - i)

20 + 2 (x - 3 = 8)

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

\frac{( ( x + h ) ^{2} - 5 ) - ( x ^{2} - 5 )}{h}

What is expand (x-1)^2sqrt(x-1) ?
The solution to expand (x-1)^2sqrt(x-1) is x^2sqrt(x-1)-2xsqrt(x-1)+sqrt(x-1)