What is expand ((t^2)/8-(t^3)/(12))^2 ?

The solution to expand ((t^2)/8-(t^3)/(12))^2 is (9t^4-12t^5+4t^6)/(576)

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expand ((t^2)/8-(t^3)/(12))^2

expand

(\frac{t ^{2}}{8} - \frac{t ^{3}}{12})^{2}

\frac{9 t ^{4} - 12 t ^{5} + 4 t ^{6}}{576}

Solution steps

(\frac{t ^{2}}{8} - \frac{t ^{3}}{12})^{2}

Apply Perfect Square Formula:

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

(\frac{t ^{2}}{8} - \frac{t ^{3}}{12})^{2} = (\frac{t ^{2}}{8})^{2} - 2 \cdot \frac{t ^{2}}{8} \cdot \frac{t ^{3}}{12} + (\frac{t ^{3}}{12})^{2}

= (\frac{t ^{2}}{8})^{2} - 2 \cdot \frac{t ^{2}}{8} \cdot \frac{t ^{3}}{12} + (\frac{t ^{3}}{12})^{2}

Simplify

(\frac{t ^{2}}{8})^{2} - 2 \cdot \frac{t ^{2}}{8} \cdot \frac{t ^{3}}{12} + (\frac{t ^{3}}{12})^{2} : \frac{9 t ^{4} - 12 t ^{5} + 4 t ^{6}}{576}

= \frac{9 t ^{4} - 12 t ^{5} + 4 t ^{6}}{576}

- (1 + 7 x) - 6 (- 7 - x = 36)

lo g_{10} (2) (\frac{2 x + 1}{x - 5})

2 (x^{2} - 7 x + 7)^{2}

\frac{2 x - 3}{5}

- 1.5 (5 x + 2 y = - 9)

What is expand ((t^2)/8-(t^3)/(12))^2 ?
The solution to expand ((t^2)/8-(t^3)/(12))^2 is (9t^4-12t^5+4t^6)/(576)