What is expand (m^9+12y^4)^2 ?

The solution to expand (m^9+12y^4)^2 is m^{18}+24m^9y^4+144y^8

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expand (m^9+12y^4)^2

expand

(m^{9} + 12 y^{4})^{2}

m^{18} + 24 m^{9} y^{4} + 144 y^{8}

Solution steps

(m^{9} + 12 y^{4})^{2}

Apply Perfect Square Formula:

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

(m^{9} + 12 y^{4})^{2} = (m^{9})^{2} + 2 m^{9} \cdot 12 y^{4} + (12 y^{4})^{2}

= (m^{9})^{2} + 2 m^{9} \cdot 12 y^{4} + (12 y^{4})^{2}

Simplify

(m^{9})^{2} + 2 m^{9} \cdot 12 y^{4} + (12 y^{4})^{2} : m^{18} + 24 m^{9} y^{4} + 144 y^{8}

= m^{18} + 24 m^{9} y^{4} + 144 y^{8}

(- 4) - (- 4)

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

(y - 4) (y - 4)

x - 5 - x^{2} - 1

What is expand (m^9+12y^4)^2 ?
The solution to expand (m^9+12y^4)^2 is m^{18}+24m^9y^4+144y^8