What is expand (2t^3-t^2)(t^2-3t-1) ?

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

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expand (2t^3-t^2)(t^2-3t-1)

expand

(2 t^{3} - t^{2}) (t^{2} - 3 t - 1)

2 t^{5} - 7 t^{4} + t^{3} + t^{2}

Solution steps

(2 t^{3} - t^{2}) (t^{2} - 3 t - 1)

Distribute parentheses

= 2 t^{3} t^{2} + 2 t^{3} (- 3 t) + 2 t^{3} (- 1) - t^{2} t^{2} - t^{2} (- 3 t) - t^{2} (- 1)

Simplify

2 t^{3} t^{2} + 2 t^{3} (- 3 t) + 2 t^{3} (- 1) - t^{2} t^{2} - t^{2} (- 3 t) - t^{2} (- 1) : 2 t^{5} - 7 t^{4} + t^{3} + t^{2}

= 2 t^{5} - 7 t^{4} + t^{3} + t^{2}

- (- a + b) + [- (a + b) - (- 2 a + 3 b) + (- b + a - b)]

\frac{\frac{x ^{2}}{4}}{\frac{x}{4 x + 4}}

\frac{6 x ^{2}}{2}

\frac{x - 5}{x ^{2} + 10 x + 16} + \frac{5 x + 1}{x ^{2} + 7 x + 10}

9 1^{2}

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