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

The solution to expand (3x^2+x-1)(2x^2+4x+4) is 6x^4+14x^3+14x^2-4

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

expand

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

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

Solution steps

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

Distribute parentheses

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

Simplify

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

= 6 x^{4} + 14 x^{3} + 14 x^{2} - 4

32 x

1 + 1

6 - 2

\frac{1}{3} \cdot 100

1^{e}

What is expand (3x^2+x-1)(2x^2+4x+4) ?
The solution to expand (3x^2+x-1)(2x^2+4x+4) is 6x^4+14x^3+14x^2-4