What is expand 3*(x^2-4x+5)^2 ?

The solution to expand 3*(x^2-4x+5)^2 is 3x^4-24x^3+78x^2-120x+75

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expand 3*(x^2-4x+5)^2

expand

3 \cdot (x^{2} - 4 x + 5)^{2}

3 x^{4} - 24 x^{3} + 78 x^{2} - 120 x + 75

Solution steps

3 (x^{2} - 4 x + 5)^{2}

(x^{2} - 4 x + 5)^{2} = x^{4} - 8 x^{3} + 26 x^{2} - 40 x + 25

= 3 (x^{4} - 8 x^{3} + 26 x^{2} - 40 x + 25)

Distribute parentheses

= 3 x^{4} + 3 (- 8 x^{3}) + 3 \cdot 26 x^{2} + 3 (- 40 x) + 3 \cdot 25

Apply minus-plus rules

+ (- a) = - a

= 3 x^{4} - 3 \cdot 8 x^{3} + 3 \cdot 26 x^{2} - 3 \cdot 40 x + 3 \cdot 25

Simplify

3 x^{4} - 3 \cdot 8 x^{3} + 3 \cdot 26 x^{2} - 3 \cdot 40 x + 3 \cdot 25 : 3 x^{4} - 24 x^{3} + 78 x^{2} - 120 x + 75

= 3 x^{4} - 24 x^{3} + 78 x^{2} - 120 x + 75

(- 8, - 8) y (- 7, 9)

(3 x + 2 y + 4) d x + (3 x - 2 y - 3) d y

5 (- 2 e^{- 2 x} x + e^{- 2 x})

\frac{2 ( - 1 ) ^{n} - 2}{π ^{3} n ^{3}} - \frac{( - 1 ) ^{n}}{πn}

(\frac{π}{2} - x) tan (x)

What is expand 3*(x^2-4x+5)^2 ?
The solution to expand 3*(x^2-4x+5)^2 is 3x^4-24x^3+78x^2-120x+75