What is expand (4xy^2+yz^3)^2 ?

The solution to expand (4xy^2+yz^3)^2 is 16x^2y^4+8xy^3z^3+y^2z^6

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expand (4xy^2+yz^3)^2

expand

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

16 x^{2} y^{4} + 8 x y^{3} z^{3} + y^{2} z^{6}

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

(4 x y^{2})^{2} + 2 \cdot 4 x y^{2} y z^{3} + (y z^{3})^{2} : 16 x^{2} y^{4} + 8 x y^{3} z^{3} + y^{2} z^{6}

= 16 x^{2} y^{4} + 8 x y^{3} z^{3} + y^{2} z^{6}

3 (x^{2} + 2 x)

(x + 4)^{2} - x (x + 8)

i^{132}

- 2 x^{2} + 2 x^{2}

\frac{2}{x y} + y x

What is expand (4xy^2+yz^3)^2 ?
The solution to expand (4xy^2+yz^3)^2 is 16x^2y^4+8xy^3z^3+y^2z^6