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

The solution to expand (2t^5-t^2)^2 is 4t^{10}-4t^7+t^4

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

expand

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

4 t^{10} - 4 t^{7} + t^{4}

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

(2 t^{5})^{2} - 2 \cdot 2 t^{5} t^{2} + (t^{2})^{2} : 4 t^{10} - 4 t^{7} + t^{4}

= 4 t^{10} - 4 t^{7} + t^{4}

\frac{63 x ^{15} y ^{9}}{7 x y ^{11}}

12 \div \frac{4}{3}

\frac{30}{5}

20 + 32 + 8 - 55

- 1 (1)

What is expand (2t^5-t^2)^2 ?
The solution to expand (2t^5-t^2)^2 is 4t^{10}-4t^7+t^4