What is expand 3(mx-m-1)^2 ?

The solution to expand 3(mx-m-1)^2 is 3m^2x^2-6m^2x-6mx+3m^2+6m+3

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expand 3(mx-m-1)^2

expand

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

3 m^{2} x^{2} - 6 m^{2} x - 6 m x + 3 m^{2} + 6 m + 3

Solution steps

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

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

= 3 (m^{2} x^{2} + m^{2} - 2 m^{2} x + 2 m - 2 m x + 1)

Distribute parentheses

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

Apply minus-plus rules

+ (- a) = - a

= 3 m^{2} x^{2} - 3 \cdot 2 m^{2} x - 3 \cdot 2 m x + 3 m^{2} + 3 \cdot 2 m + 3 \cdot 1

Simplify

3 m^{2} x^{2} - 3 \cdot 2 m^{2} x - 3 \cdot 2 m x + 3 m^{2} + 3 \cdot 2 m + 3 \cdot 1 : 3 m^{2} x^{2} - 6 m^{2} x - 6 m x + 3 m^{2} + 6 m + 3

= 3 m^{2} x^{2} - 6 m^{2} x - 6 m x + 3 m^{2} + 6 m + 3

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

(e^{2} - 1) u^{2}

\frac{( a + x ) ( b + n - x )}{( a + b + n ) ^{2} ( a + b + n + 1 )}

(e^{4 x} - e^{- 4 x})^{2}

V (0, + 6) F (0, + 10)

What is expand 3(mx-m-1)^2 ?
The solution to expand 3(mx-m-1)^2 is 3m^2x^2-6m^2x-6mx+3m^2+6m+3