What is expand pi(6t-0.3t^2)^2 ?

The solution to expand pi(6t-0.3t^2)^2 is 0.28274…t^4-11.30973…t^3+113.09733…t^2

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expand pi(6t-0.3t^2)^2

expand

π (6 t - 0.3 t^{2})^{2}

0.28274 \dots t^{4} - 11.30973 \dots t^{3} + 113.09733 \dots t^{2}

Solution steps

π (6 t - 0.3 t^{2})^{2}

(6 t - 0.3 t^{2})^{2} = 36 t^{2} - 3.6 t^{3} + 0.09 t^{4}

= π (0.09 t^{4} - 3.6 t^{3} + 36 t^{2})

Distribute parentheses

= π 36 t^{2} + π (- 3.6 t^{3}) + π 0.09 t^{4}

Apply minus-plus rules

+ (- a) = - a

= 36 π t^{2} - 3.6 π t^{3} + 0.09 π t^{4}

Simplify

36 π t^{2} - 3.6 π t^{3} + 0.09 π t^{4} : 113.09733 \dots t^{2} - 11.30973 \dots t^{3} + 0.28274 \dots t^{4}

= 113.09733 \dots t^{2} - 11.30973 \dots t^{3} + 0.28274 \dots t^{4}

Rewrite in standard form

= 0.28274 \dots t^{4} - 11.30973 \dots t^{3} + 113.09733 \dots t^{2}

(x - 2) x + 1 \frac{d y}{d x}

s q u a re (z^{2} - z + 1)

\frac{( x + 5 ) ( x - 6 )}{x + 6}

2 π r \cdot (r + h)

16000 (1.01)^{0.79}

What is expand pi(6t-0.3t^2)^2 ?
The solution to expand pi(6t-0.3t^2)^2 is 0.28274…t^4-11.30973…t^3+113.09733…t^2