What is expand (3x^4-y^5)^2 ?

The solution to expand (3x^4-y^5)^2 is 9x^8-6x^4y^5+y^{10}

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expand (3x^4-y^5)^2

expand

(3 x^{4} - y^{5})^{2}

9 x^{8} - 6 x^{4} y^{5} + y^{10}

Solution steps

(3 x^{4} - y^{5})^{2}

Apply Perfect Square Formula:

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

(3 x^{4} - y^{5})^{2} = (3 x^{4})^{2} - 2 \cdot 3 x^{4} y^{5} + (y^{5})^{2}

= (3 x^{4})^{2} - 2 \cdot 3 x^{4} y^{5} + (y^{5})^{2}

Simplify

(3 x^{4})^{2} - 2 \cdot 3 x^{4} y^{5} + (y^{5})^{2} : 9 x^{8} - 6 x^{4} y^{5} + y^{10}

= 9 x^{8} - 6 x^{4} y^{5} + y^{10}

\frac{4}{2} + 1

lo g_{25} (5)

F (x)

4^{2} - 2^{2}

\frac{2}{9} \div \frac{5}{12}

What is expand (3x^4-y^5)^2 ?
The solution to expand (3x^4-y^5)^2 is 9x^8-6x^4y^5+y^{10}