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

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

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

expand

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

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

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

Simplify

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

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

\frac{( x - 1 ) ( x + 5 )}{( x + 1 )}

\frac{2 x ^{3} + 17 x ^{2} - 40 x + 25}{( x + 5 ) ( 2 x + 5 )}

\frac{( 4 x + 13 ) ^{2}}{4}

(+ 3 - 6 + 9 = 0,) (- 4 + 7 + 2 = 0)

f (3) + (x - 3) f^{'} (3)

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