What is expand (2x^2-5x+6)*(3x^4-5x^3-6x^2+4x-3) ?

The solution to expand (2x^2-5x+6)*(3x^4-5x^3-6x^2+4x-3) is 6x^6-25x^5+31x^4+8x^3-62x^2+39x-18

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expand (2x^2-5x+6)*(3x^4-5x^3-6x^2+4x-3)

expand

(2 x^{2} - 5 x + 6) \cdot (3 x^{4} - 5 x^{3} - 6 x^{2} + 4 x - 3)

6 x^{6} - 25 x^{5} + 31 x^{4} + 8 x^{3} - 62 x^{2} + 39 x - 18

Solution steps

(2 x^{2} - 5 x + 6) (3 x^{4} - 5 x^{3} - 6 x^{2} + 4 x - 3)

Distribute parentheses

= 2 x^{2} \cdot 3 x^{4} + 2 x^{2} (- 5 x^{3}) + 2 x^{2} (- 6 x^{2}) + 2 x^{2} \cdot 4 x + 2 x^{2} (- 3) - 5 x \cdot 3 x^{4} - 5 x (- 5 x^{3}) - 5 x (- 6 x^{2}) - 5 x \cdot 4 x - 5 x (- 3) + 6 \cdot 3 x^{4} + 6 (- 5 x^{3}) + 6 (- 6 x^{2}) + 6 \cdot 4 x + 6 (- 3)

Simplify

2 x^{2} \cdot 3 x^{4} + 2 x^{2} (- 5 x^{3}) + 2 x^{2} (- 6 x^{2}) + 2 x^{2} \cdot 4 x + 2 x^{2} (- 3) - 5 x \cdot 3 x^{4} - 5 x (- 5 x^{3}) - 5 x (- 6 x^{2}) - 5 x \cdot 4 x - 5 x (- 3) + 6 \cdot 3 x^{4} + 6 (- 5 x^{3}) + 6 (- 6 x^{2}) + 6 \cdot 4 x + 6 (- 3) : 6 x^{6} - 25 x^{5} + 31 x^{4} + 8 x^{3} - 62 x^{2} + 39 x - 18

= 6 x^{6} - 25 x^{5} + 31 x^{4} + 8 x^{3} - 62 x^{2} + 39 x - 18

(2 x - 3) (x + 5)

- 7^{0}

e^{0.05}

\frac{1}{3} \times 6

3 x (x - 2)

What is expand (2x^2-5x+6)*(3x^4-5x^3-6x^2+4x-3) ?
The solution to expand (2x^2-5x+6)*(3x^4-5x^3-6x^2+4x-3) is 6x^6-25x^5+31x^4+8x^3-62x^2+39x-18