What is expand 3(3x^2+6x-1)^2 ?

The solution to expand 3(3x^2+6x-1)^2 is 27x^4+108x^3+90x^2-36x+3

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expand 3(3x^2+6x-1)^2

expand

3 (3 x^{2} + 6 x - 1)^{2}

27 x^{4} + 108 x^{3} + 90 x^{2} - 36 x + 3

Solution steps

3 (3 x^{2} + 6 x - 1)^{2}

(3 x^{2} + 6 x - 1)^{2} = 9 x^{4} + 36 x^{3} + 30 x^{2} - 12 x + 1

= 3 (9 x^{4} + 36 x^{3} + 30 x^{2} - 12 x + 1)

Distribute parentheses

= 3 \cdot 9 x^{4} + 3 \cdot 36 x^{3} + 3 \cdot 30 x^{2} + 3 (- 12 x) + 3 \cdot 1

Apply minus-plus rules

+ (- a) = - a

= 3 \cdot 9 x^{4} + 3 \cdot 36 x^{3} + 3 \cdot 30 x^{2} - 3 \cdot 12 x + 3 \cdot 1

Simplify

3 \cdot 9 x^{4} + 3 \cdot 36 x^{3} + 3 \cdot 30 x^{2} - 3 \cdot 12 x + 3 \cdot 1 : 27 x^{4} + 108 x^{3} + 90 x^{2} - 36 x + 3

= 27 x^{4} + 108 x^{3} + 90 x^{2} - 36 x + 3

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

\frac{x - 1}{( x - 3 ) ( x + 4 )}

\frac{1}{( b - a ) ( a - x )}

(- 4, - 3) y (8, - 9)

64 (10 k - 10 m + 1)^{2}

What is expand 3(3x^2+6x-1)^2 ?
The solution to expand 3(3x^2+6x-1)^2 is 27x^4+108x^3+90x^2-36x+3