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

The solution to expand (2x^2y+4m)^2 is 4x^4y^2+16mx^2y+16m^2

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expand (2x^2y+4m)^2

expand

(2 x^{2} y + 4 m)^{2}

4 x^{4} y^{2} + 16 m x^{2} y + 16 m^{2}

Solution steps

(2 x^{2} y + 4 m)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

(2 x^{2} y)^{2} + 2 \cdot 2 x^{2} y \cdot 4 m + (4 m)^{2} : 4 x^{4} y^{2} + 16 m x^{2} y + 16 m^{2}

= 4 x^{4} y^{2} + 16 m x^{2} y + 16 m^{2}

6 a (a - 2)

\frac{a}{5 b} - \frac{c}{b}

(\cdot (- 3))^{2}

(2 x + 3) (5 x - 8)

12 (c - 3) + 27 + c - 9 c

What is expand (2x^2y+4m)^2 ?
The solution to expand (2x^2y+4m)^2 is 4x^4y^2+16mx^2y+16m^2