What is expand (12b^{20}-9m^{3/2})^2 ?

The solution to expand (12b^{20}-9m^{3/2})^2 is 144b^{40}-216b^{20}m^{3/2}+81m^3

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expand (12b^{20}-9m^{3/2})^2

expand

(12 b^{20} - 9 m^{\frac{3}{2}})^{2}

144 b^{40} - 216 b^{20} m^{\frac{3}{2}} + 81 m^{3}

Solution steps

(12 b^{20} - 9 m^{\frac{3}{2}})^{2}

Apply Perfect Square Formula:

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

(12 b^{20} - 9 m^{\frac{3}{2}})^{2} = (12 b^{20})^{2} - 2 \cdot 12 b^{20} \cdot 9 m^{\frac{3}{2}} + (9 m^{\frac{3}{2}})^{2}

= (12 b^{20})^{2} - 2 \cdot 12 b^{20} \cdot 9 m^{\frac{3}{2}} + (9 m^{\frac{3}{2}})^{2}

(12 b^{20})^{2} = 144 b^{40}

2 \cdot 12 b^{20} \cdot 9 m^{\frac{3}{2}} = 216 b^{20} m^{\frac{3}{2}}

(9 m^{\frac{3}{2}})^{2} = 81 m^{3}

= 144 b^{40} - 216 b^{20} m^{\frac{3}{2}} + 81 m^{3}

\frac{s ^{2} + 1}{( s ^{2} + s + 10 ) s ^{2}}

t (x) x^{^{''}} + (5 t (x) - 5) x^{^{'}} + 5 x

\frac{54 ( x ^{2} + 3 )}{( x ^{2} - 9 ) ^{3}}

lo g_{7 x 3 y} (x)

tan (x) (1 - cot^{2} (x))

What is expand (12b^{20}-9m^{3/2})^2 ?
The solution to expand (12b^{20}-9m^{3/2})^2 is 144b^{40}-216b^{20}m^{3/2}+81m^3