What is expand 2(3x^2+2x-10)^2 ?

The solution to expand 2(3x^2+2x-10)^2 is 18x^4+24x^3-112x^2-80x+200

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expand 2(3x^2+2x-10)^2

expand

2 (3 x^{2} + 2 x - 10)^{2}

18 x^{4} + 24 x^{3} - 112 x^{2} - 80 x + 200

Solution steps

2 (3 x^{2} + 2 x - 10)^{2}

(3 x^{2} + 2 x - 10)^{2} = 9 x^{4} + 12 x^{3} - 56 x^{2} - 40 x + 100

= 2 (9 x^{4} + 12 x^{3} - 56 x^{2} - 40 x + 100)

Distribute parentheses

= 2 \cdot 9 x^{4} + 2 \cdot 12 x^{3} + 2 (- 56 x^{2}) + 2 (- 40 x) + 2 \cdot 100

Apply minus-plus rules

+ (- a) = - a

= 2 \cdot 9 x^{4} + 2 \cdot 12 x^{3} - 2 \cdot 56 x^{2} - 2 \cdot 40 x + 2 \cdot 100

Simplify

2 \cdot 9 x^{4} + 2 \cdot 12 x^{3} - 2 \cdot 56 x^{2} - 2 \cdot 40 x + 2 \cdot 100 : 18 x^{4} + 24 x^{3} - 112 x^{2} - 80 x + 200

= 18 x^{4} + 24 x^{3} - 112 x^{2} - 80 x + 200

\frac{4}{5 ( 20 x - 10 )}

2 a - 20 a^{2} + 48 a

\frac{1}{( s + 7 ) ( s ^{2} + 6 s + 3 )}

\frac{d}{d t} ((x) (- B y (x, t, B) + t))

- \frac{1}{( s ^{2} + 1 ) ( s + 3 ) ( s + 1 )}

What is expand 2(3x^2+2x-10)^2 ?
The solution to expand 2(3x^2+2x-10)^2 is 18x^4+24x^3-112x^2-80x+200