What is expand-4(6x^3-3x^2-4)^2 ?

The solution to expand-4(6x^3-3x^2-4)^2 is -144x^6+144x^5-36x^4+192x^3-96x^2-64

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expand-4(6x^3-3x^2-4)^2

expand

- 4 (6 x^{3} - 3 x^{2} - 4)^{2}

- 144 x^{6} + 144 x^{5} - 36 x^{4} + 192 x^{3} - 96 x^{2} - 64

Solution steps

- 4 (6 x^{3} - 3 x^{2} - 4)^{2}

(6 x^{3} - 3 x^{2} - 4)^{2} = 36 x^{6} - 36 x^{5} - 48 x^{3} + 9 x^{4} + 24 x^{2} + 16

= - 4 (36 x^{6} - 36 x^{5} + 9 x^{4} - 48 x^{3} + 24 x^{2} + 16)

Distribute parentheses

= (- 4) \cdot 36 x^{6} + (- 4) (- 36 x^{5}) + (- 4) (- 48 x^{3}) + (- 4) \cdot 9 x^{4} + (- 4) \cdot 24 x^{2} + (- 4) \cdot 16

Apply minus-plus rules

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

= - 4 \cdot 36 x^{6} + 4 \cdot 36 x^{5} + 4 \cdot 48 x^{3} - 4 \cdot 9 x^{4} - 4 \cdot 24 x^{2} - 4 \cdot 16

Simplify

- 4 \cdot 36 x^{6} + 4 \cdot 36 x^{5} + 4 \cdot 48 x^{3} - 4 \cdot 9 x^{4} - 4 \cdot 24 x^{2} - 4 \cdot 16 : - 144 x^{6} + 144 x^{5} + 192 x^{3} - 36 x^{4} - 96 x^{2} - 64

= - 144 x^{6} + 144 x^{5} + 192 x^{3} - 36 x^{4} - 96 x^{2} - 64

Rewrite in standard form

= - 144 x^{6} + 144 x^{5} - 36 x^{4} + 192 x^{3} - 96 x^{2} - 64

(2 + 6 - x)^{2}

(x - 2) (x + 6)

(3 x - 1)^{2}

C (s + 1) (s - 1) (s + \frac{1}{2})

ln (93) (- x^{2} - 55 x - 156)

What is expand-4(6x^3-3x^2-4)^2 ?
The solution to expand-4(6x^3-3x^2-4)^2 is -144x^6+144x^5-36x^4+192x^3-96x^2-64