What is expand (7x-1)(x^2-2x+1)'' ?

The solution to expand (7x-1)(x^2-2x+1)'' is 7x(x^2-2x+1)''-(x^2-2x+1)''

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expand (7x-1)(x^2-2x+1)''

expand

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

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

Solution steps

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

Apply the distributive law:

a (b - c) = ab - a c

a = (x^{2} - 2 x + 1)^{''}, b = 7 x, c = 1

= (x^{2} - 2 x + 1)^{^{''}} 7 x - (x^{2} - 2 x + 1)^{^{''}} 1

= 7 x (x^{2} - 2 x + 1)^{^{''}} - 1 (x^{2} - 2 x + 1)^{^{''}}

Multiply:

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

= 7 x (x^{2} - 2 x + 1)^{^{''}} - (x^{2} - 2 x + 1)^{^{''}}

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What is expand (7x-1)(x^2-2x+1)'' ?
The solution to expand (7x-1)(x^2-2x+1)'' is 7x(x^2-2x+1)''-(x^2-2x+1)''