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

The solution to expand (t^2+2t-5)(3t^2-t+2) is 3t^4+5t^3-15t^2+9t-10

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expand (t^2+2t-5)(3t^2-t+2)

expand

(t^{2} + 2 t - 5) (3 t^{2} - t + 2)

3 t^{4} + 5 t^{3} - 15 t^{2} + 9 t - 10

Solution steps

(t^{2} + 2 t - 5) (3 t^{2} - t + 2)

Distribute parentheses

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

Simplify

t^{2} \cdot 3 t^{2} + t^{2} (- t) + t^{2} \cdot 2 + 2 t \cdot 3 t^{2} + 2 t (- t) + 2 t \cdot 2 - 5 \cdot 3 t^{2} - 5 (- t) - 5 \cdot 2 : 3 t^{4} + 5 t^{3} - 15 t^{2} + 9 t - 10

= 3 t^{4} + 5 t^{3} - 15 t^{2} + 9 t - 10

\frac{3}{4} \div \frac{7}{10}

10 (2 p - 3 q + 6)

5 80 a^{2}

(x^{3} + x^{2})^{2}

- \frac{9}{16}

What is expand (t^2+2t-5)(3t^2-t+2) ?
The solution to expand (t^2+2t-5)(3t^2-t+2) is 3t^4+5t^3-15t^2+9t-10