What is expand-3(-3x^2-7x+4)^2 ?

The solution to expand-3(-3x^2-7x+4)^2 is -27x^4-126x^3-75x^2+168x-48

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expand-3(-3x^2-7x+4)^2

expand

- 3 (- 3 x^{2} - 7 x + 4)^{2}

- 27 x^{4} - 126 x^{3} - 75 x^{2} + 168 x - 48

Solution steps

- 3 (- 3 x^{2} - 7 x + 4)^{2}

(- 3 x^{2} - 7 x + 4)^{2} = 9 x^{4} + 42 x^{3} + 25 x^{2} - 56 x + 16

= - 3 (9 x^{4} + 42 x^{3} + 25 x^{2} - 56 x + 16)

Distribute parentheses

= (- 3) \cdot 9 x^{4} + (- 3) \cdot 42 x^{3} + (- 3) \cdot 25 x^{2} + (- 3) (- 56 x) + (- 3) \cdot 16

Apply minus-plus rules

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

= - 3 \cdot 9 x^{4} - 3 \cdot 42 x^{3} - 3 \cdot 25 x^{2} + 3 \cdot 56 x - 3 \cdot 16

Simplify

- 3 \cdot 9 x^{4} - 3 \cdot 42 x^{3} - 3 \cdot 25 x^{2} + 3 \cdot 56 x - 3 \cdot 16 : - 27 x^{4} - 126 x^{3} - 75 x^{2} + 168 x - 48

= - 27 x^{4} - 126 x^{3} - 75 x^{2} + 168 x - 48

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

\frac{4}{( y - 1 ) ( y + 2 )}

(e^{- t} - e^{- t} t)^{2}

\frac{2 ( 5 n + 2 )}{n}

\frac{1}{s ( s + 2 ) ( s + 10 ) ( s + 15 )}

What is expand-3(-3x^2-7x+4)^2 ?
The solution to expand-3(-3x^2-7x+4)^2 is -27x^4-126x^3-75x^2+168x-48