What is expand (10x^3-9xy^5)^2 ?

The solution to expand (10x^3-9xy^5)^2 is 100x^6-180x^4y^5+81x^2y^{10}

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expand (10x^3-9xy^5)^2

expand

(10 x^{3} - 9 x y^{5})^{2}

100 x^{6} - 180 x^{4} y^{5} + 81 x^{2} y^{10}

Solution steps

(10 x^{3} - 9 x y^{5})^{2}

Apply Perfect Square Formula:

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

(10 x^{3} - 9 x y^{5})^{2} = (10 x^{3})^{2} - 2 \cdot 10 x^{3} \cdot 9 x y^{5} + (9 x y^{5})^{2}

= (10 x^{3})^{2} - 2 \cdot 10 x^{3} \cdot 9 x y^{5} + (9 x y^{5})^{2}

Simplify

(10 x^{3})^{2} - 2 \cdot 10 x^{3} \cdot 9 x y^{5} + (9 x y^{5})^{2} : 100 x^{6} - 180 x^{4} y^{5} + 81 x^{2} y^{10}

= 100 x^{6} - 180 x^{4} y^{5} + 81 x^{2} y^{10}

\frac{\frac{n - 4}{7 n ^{2} - 28 n}}{\frac{3 n}{n - 2}}

\frac{13}{12} - \frac{1}{6}

(s + 3)^{2}

- 5 \cdot (- 5)

\frac{\frac{1}{4} x ^{5} y z ^{2}}{( 0.2 x ^{2} y ^{3} z ^{4} )}

What is expand (10x^3-9xy^5)^2 ?
The solution to expand (10x^3-9xy^5)^2 is 100x^6-180x^4y^5+81x^2y^{10}