What is expand (x^2-4)(3x^2+2x-1) ?

The solution to expand (x^2-4)(3x^2+2x-1) is 3x^4+2x^3-13x^2-8x+4

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expand (x^2-4)(3x^2+2x-1)

expand

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

3 x^{4} + 2 x^{3} - 13 x^{2} - 8 x + 4

Solution steps

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

Distribute parentheses

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

Simplify

x^{2} \cdot 3 x^{2} + x^{2} \cdot 2 x + x^{2} (- 1) - 4 \cdot 3 x^{2} - 4 \cdot 2 x - 4 (- 1) : 3 x^{4} + 2 x^{3} - 13 x^{2} - 8 x + 4

= 3 x^{4} + 2 x^{3} - 13 x^{2} - 8 x + 4

1 \frac{3}{2}

\frac{2}{3} (x^{2} + 1)^{\frac{3}{2}}

\frac{1 - cos ^{2} ( x )}{sin ( x )}

What is expand (x^2-4)(3x^2+2x-1) ?
The solution to expand (x^2-4)(3x^2+2x-1) is 3x^4+2x^3-13x^2-8x+4