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

The solution to expand 2(x^2+3x-1)^2 is 2x^4+12x^3+14x^2-12x+2

Popular >

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

expand

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

2 x^{4} + 12 x^{3} + 14 x^{2} - 12 x + 2

Solution steps

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

(x^{2} + 3 x - 1)^{2} = x^{4} + 6 x^{3} + 7 x^{2} - 6 x + 1

= 2 (x^{4} + 6 x^{3} + 7 x^{2} - 6 x + 1)

Distribute parentheses

= 2 x^{4} + 2 \cdot 6 x^{3} + 2 \cdot 7 x^{2} + 2 (- 6 x) + 2 \cdot 1

Apply minus-plus rules

+ (- a) = - a

= 2 x^{4} + 2 \cdot 6 x^{3} + 2 \cdot 7 x^{2} - 2 \cdot 6 x + 2 \cdot 1

Simplify

2 x^{4} + 2 \cdot 6 x^{3} + 2 \cdot 7 x^{2} - 2 \cdot 6 x + 2 \cdot 1 : 2 x^{4} + 12 x^{3} + 14 x^{2} - 12 x + 2

= 2 x^{4} + 12 x^{3} + 14 x^{2} - 12 x + 2

\frac{- 1 - 2 x ^{2} - ln ( x y ) - 2 y ^{2}}{y ( 1 + ln ( x ) y + 2 x )}

3 l e f t (2 a + 5 a^{2}) + (2 a - a^{2})

e^{e^{x} (x - 1)}

(7, 1) y (3, - 2)

x (1 - x^{4} + x - x^{9})

What is expand 2(x^2+3x-1)^2 ?
The solution to expand 2(x^2+3x-1)^2 is 2x^4+12x^3+14x^2-12x+2