What is expand (6t^2-3t+5)(7t-4) ?

The solution to expand (6t^2-3t+5)(7t-4) is 42t^3-45t^2+47t-20

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expand (6t^2-3t+5)(7t-4)

expand

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

42 t^{3} - 45 t^{2} + 47 t - 20

Solution steps

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

Distribute parentheses

= 6 t^{2} \cdot 7 t + 6 t^{2} (- 4) - 3 t \cdot 7 t - 3 t (- 4) + 5 \cdot 7 t + 5 (- 4)

Simplify

6 t^{2} \cdot 7 t + 6 t^{2} (- 4) - 3 t \cdot 7 t - 3 t (- 4) + 5 \cdot 7 t + 5 (- 4) : 42 t^{3} - 45 t^{2} + 47 t - 20

= 42 t^{3} - 45 t^{2} + 47 t - 20

\frac{\frac{1}{4} + \frac{1}{x}}{4 + x}

(1 - 5) (2 - 5)

(5 b^{3} - 8) (5 b^{3} - 8)

7 t^{4} \cdot 7 t^{4}

\frac{3 + 2 i}{2 - 5 i}

What is expand (6t^2-3t+5)(7t-4) ?
The solution to expand (6t^2-3t+5)(7t-4) is 42t^3-45t^2+47t-20