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

The solution to expand (3x^2-4x+1)(-2x^2+4x+1) is -6x^4+20x^3-15x^2+1

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

expand

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

- 6 x^{4} + 20 x^{3} - 15 x^{2} + 1

Solution steps

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

Distribute parentheses

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

Simplify

3 x^{2} (- 2 x^{2}) + 3 x^{2} \cdot 4 x + 3 x^{2} \cdot 1 - 4 x (- 2 x^{2}) - 4 x \cdot 4 x - 4 x \cdot 1 + 1 \cdot (- 2 x^{2}) + 1 \cdot 4 x + 1 \cdot 1 : - 6 x^{4} + 20 x^{3} - 15 x^{2} + 1

= - 6 x^{4} + 20 x^{3} - 15 x^{2} + 1

(8 x^{5} y)^{\frac{1}{3}}

6 \div \frac{1}{8}

(\frac{1}{81})^{- \frac{1}{4}}

2 + (- 12)

What is expand (3x^2-4x+1)(-2x^2+4x+1) ?
The solution to expand (3x^2-4x+1)(-2x^2+4x+1) is -6x^4+20x^3-15x^2+1