What is expand-3(x^2-6x+8)^2 ?

The solution to expand-3(x^2-6x+8)^2 is -3x^4+36x^3-156x^2+288x-192

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expand-3(x^2-6x+8)^2

expand

- 3 (x^{2} - 6 x + 8)^{2}

- 3 x^{4} + 36 x^{3} - 156 x^{2} + 288 x - 192

Solution steps

- 3 (x^{2} - 6 x + 8)^{2}

(x^{2} - 6 x + 8)^{2} = x^{4} - 12 x^{3} + 52 x^{2} - 96 x + 64

= - 3 (x^{4} - 12 x^{3} + 52 x^{2} - 96 x + 64)

Distribute parentheses

= (- 3) x^{4} + (- 3) (- 12 x^{3}) + (- 3) \cdot 52 x^{2} + (- 3) (- 96 x) + (- 3) \cdot 64

Apply minus-plus rules

+ (- a) = - a, (- a) (- b) = ab

= - 3 x^{4} + 3 \cdot 12 x^{3} - 3 \cdot 52 x^{2} + 3 \cdot 96 x - 3 \cdot 64

Simplify

- 3 x^{4} + 3 \cdot 12 x^{3} - 3 \cdot 52 x^{2} + 3 \cdot 96 x - 3 \cdot 64 : - 3 x^{4} + 36 x^{3} - 156 x^{2} + 288 x - 192

= - 3 x^{4} + 36 x^{3} - 156 x^{2} + 288 x - 192

(1.4) (2 x - 4 y = 0)

10 2^{2} - 9 8^{2}

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

4 x^{2} + 4 x^{2}

8 (e - 7)

What is expand-3(x^2-6x+8)^2 ?
The solution to expand-3(x^2-6x+8)^2 is -3x^4+36x^3-156x^2+288x-192