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

The solution to expand 2((x+h)-f(x))^2-1 is 4xh-4x^2f-4xhf+2x^2f^2+2x^2+2h^2-1

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expand 2((x+h)-f(x))^2-1

expand

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

4 x h - 4 x^{2} f - 4 x h f + 2 x^{2} f^{2} + 2 x^{2} + 2 h^{2} - 1

Solution steps

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

Remove parentheses:

(a) = a

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

(x + h - f x)^{2} = 2 x h - 2 x^{2} f - 2 x h f + x^{2} f^{2} + x^{2} + h^{2}

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

Expand

2 (2 x h - 2 x^{2} f - 2 x h f + x^{2} f^{2} + x^{2} + h^{2}) : 4 x h - 4 x^{2} f - 4 x h f + 2 x^{2} f^{2} + 2 x^{2} + 2 h^{2}

= 4 x h - 4 x^{2} f - 4 x h f + 2 x^{2} f^{2} + 2 x^{2} + 2 h^{2} - 1

12 π (36 - r^{2})

\frac{12 x ^{3} + 90 x ^{2} - 72 x + 138}{( x ^{2} - 2 x - 3 ) ^{3}}

(i^{3}) (1) (i)

2 e^{x} (x - 1)

\frac{1}{( 1 - 8 x ) ^{2}}

What is expand 2((x+h)-f(x))^2-1 ?
The solution to expand 2((x+h)-f(x))^2-1 is 4xh-4x^2f-4xhf+2x^2f^2+2x^2+2h^2-1