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

The solution to expand (2+3x^2+x^3)(x^2-1+4x) is x^5+7x^4+11x^3-x^2+8x-2

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

expand

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

x^{5} + 7 x^{4} + 11 x^{3} - x^{2} + 8 x - 2

Solution steps

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

Distribute parentheses

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

Simplify

2 x^{2} + 2 (- 1) + 2 \cdot 4 x + 3 x^{2} x^{2} + 3 x^{2} (- 1) + 3 x^{2} \cdot 4 x + x^{3} x^{2} + x^{3} (- 1) + x^{3} \cdot 4 x : x^{5} + 7 x^{4} + 11 x^{3} - x^{2} + 8 x - 2

= x^{5} + 7 x^{4} + 11 x^{3} - x^{2} + 8 x - 2

- 4 (9 k + 9)

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

(- 5 c^{- 3})^{4}

5 x^{2} + 22 x - 15

315.12 + (- 142.26)

What is expand (2+3x^2+x^3)(x^2-1+4x) ?
The solution to expand (2+3x^2+x^3)(x^2-1+4x) is x^5+7x^4+11x^3-x^2+8x-2