What is expand (x^{3m}-t^{5n})^2 ?

The solution to expand (x^{3m}-t^{5n})^2 is x^{6m}-2x^{3m}t^{5n}+t^{10n}

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expand (x^{3m}-t^{5n})^2

expand

(x^{3 m} - t^{5 n})^{2}

x^{6 m} - 2 x^{3 m} t^{5 n} + t^{10 n}

Solution steps

(x^{3 m} - t^{5 n})^{2}

Apply Perfect Square Formula:

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

(x^{3 m} - t^{5 n})^{2} = (x^{3 m})^{2} - 2 x^{3 m} t^{5 n} + (t^{5 n})^{2}

= (x^{3 m})^{2} - 2 x^{3 m} t^{5 n} + (t^{5 n})^{2}

Simplify

(x^{3 m})^{2} - 2 x^{3 m} t^{5 n} + (t^{5 n})^{2} : x^{6 m} - 2 x^{3 m} t^{5 n} + t^{10 n}

= x^{6 m} - 2 x^{3 m} t^{5 n} + t^{10 n}

2 a x^{2} - 4 a x + 2 a

- 32 + 8

5 x^{4} + 6 x^{2} - 2 x + x^{3}

\frac{3}{2} - \frac{9}{7}

What is expand (x^{3m}-t^{5n})^2 ?
The solution to expand (x^{3m}-t^{5n})^2 is x^{6m}-2x^{3m}t^{5n}+t^{10n}