What is expand (tpi-t^2)^2 ?

The solution to expand (tpi-t^2)^2 is t^4-2pit^3+pi^2t^2

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expand (tpi-t^2)^2

expand

(t π - t^{2})^{2}

t^{4} - 2 π t^{3} + π^{2} t^{2}

Solution steps

(t π - t^{2})^{2}

= (π t - t^{2})^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

a = t π, b = t^{2}

= (t π)^{2} - 2 t π t^{2} + (t^{2})^{2}

Simplify

(t π)^{2} - 2 t π t^{2} + (t^{2})^{2} : π^{2} t^{2} - 2 π t^{3} + t^{4}

= π^{2} t^{2} - 2 π t^{3} + t^{4}

Rewrite in standard form

= t^{4} - 2 π t^{3} + π^{2} t^{2}

- \frac{10 x}{( x - 3 ) ^{2}}

(4 x + 2) (6 x - 12)^{\circ}

4 a 2 + a

5 \cdot (72 = 23 x - 12 y)

264 \times 15

What is expand (tpi-t^2)^2 ?
The solution to expand (tpi-t^2)^2 is t^4-2pit^3+pi^2t^2