What is expand (2x^2y^3+3x^4)^2 ?

The solution to expand (2x^2y^3+3x^4)^2 is 4x^4y^6+12x^6y^3+9x^8

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expand (2x^2y^3+3x^4)^2

expand

(2 x^{2} y^{3} + 3 x^{4})^{2}

4 x^{4} y^{6} + 12 x^{6} y^{3} + 9 x^{8}

Solution steps

(2 x^{2} y^{3} + 3 x^{4})^{2}

Apply Perfect Square Formula:

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

(2 x^{2} y^{3} + 3 x^{4})^{2} = (2 x^{2} y^{3})^{2} + 2 \cdot 2 x^{2} y^{3} \cdot 3 x^{4} + (3 x^{4})^{2}

= (2 x^{2} y^{3})^{2} + 2 \cdot 2 x^{2} y^{3} \cdot 3 x^{4} + (3 x^{4})^{2}

Simplify

(2 x^{2} y^{3})^{2} + 2 \cdot 2 x^{2} y^{3} \cdot 3 x^{4} + (3 x^{4})^{2} : 4 x^{4} y^{6} + 12 x^{6} y^{3} + 9 x^{8}

= 4 x^{4} y^{6} + 12 x^{6} y^{3} + 9 x^{8}

(- 5 x^{2} - 9 x - 5) - (4 x^{2} - 5 x + 3)

\frac{1}{1 + 2 i} + \frac{1}{1 + 6 i}

\frac{360}{361}

1 \frac{2}{5} + \frac{4}{5}

2 (p + q) + q

What is expand (2x^2y^3+3x^4)^2 ?
The solution to expand (2x^2y^3+3x^4)^2 is 4x^4y^6+12x^6y^3+9x^8