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

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

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

expand

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

a^{4} - 6 a^{2} b^{2} + 9 b^{4}

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

= a^{4} - 6 a^{2} b^{2} + 9 b^{4}

\frac{2 - 5 ^{- 1}}{3 + 5 ^{- 1}}

\frac{3}{5} \cdot \frac{7}{8}

\frac{3}{5} \cdot \frac{7}{4}

5 x^{2} \cdot x

\frac{8}{9} \cdot \frac{2}{9}

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