What is expand (9a^3-a^2b)^2 ?

The solution to expand (9a^3-a^2b)^2 is 81a^6-18a^5b+a^4b^2

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expand (9a^3-a^2b)^2

expand

(9 a^{3} - a^{2} b)^{2}

81 a^{6} - 18 a^{5} b + a^{4} b^{2}

Solution steps

(9 a^{3} - a^{2} b)^{2}

Apply Perfect Square Formula:

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

(9 a^{3} - a^{2} b)^{2} = (9 a^{3})^{2} - 2 \cdot 9 a^{3} a^{2} b + (a^{2} b)^{2}

= (9 a^{3})^{2} - 2 \cdot 9 a^{3} a^{2} b + (a^{2} b)^{2}

Simplify

(9 a^{3})^{2} - 2 \cdot 9 a^{3} a^{2} b + (a^{2} b)^{2} : 81 a^{6} - 18 a^{5} b + a^{4} b^{2}

= 81 a^{6} - 18 a^{5} b + a^{4} b^{2}

(3 + 3 i)^{2}

\frac{x - 5}{10 x - 2} \cdot \frac{25 x ^{2} - 1}{x ^{2} - 10 x + 25}

\frac{x ^{2} - 36}{x ^{2} - 5 x - 6} \cdot \frac{3 x + 3}{9 x ^{2}}

\frac{2 + x - \frac{x ^{2}}{4} + \frac{x ^{3}}{24}}{x}

- 3 - \frac{1}{4}

What is expand (9a^3-a^2b)^2 ?
The solution to expand (9a^3-a^2b)^2 is 81a^6-18a^5b+a^4b^2