What is expand (4ab^2+5xy^3)^2 ?

The solution to expand (4ab^2+5xy^3)^2 is 16a^2b^4+40axb^2y^3+25x^2y^6

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expand (4ab^2+5xy^3)^2

expand

(4 a b^{2} + 5 x y^{3})^{2}

16 a^{2} b^{4} + 40 a x b^{2} y^{3} + 25 x^{2} y^{6}

Solution steps

(4 a b^{2} + 5 x y^{3})^{2}

Apply Perfect Square Formula:

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

(4 a b^{2} + 5 x y^{3})^{2} = (4 a b^{2})^{2} + 2 \cdot 4 a b^{2} \cdot 5 x y^{3} + (5 x y^{3})^{2}

= (4 a b^{2})^{2} + 2 \cdot 4 a b^{2} \cdot 5 x y^{3} + (5 x y^{3})^{2}

Simplify

(4 a b^{2})^{2} + 2 \cdot 4 a b^{2} \cdot 5 x y^{3} + (5 x y^{3})^{2} : 16 a^{2} b^{4} + 40 a x b^{2} y^{3} + 25 x^{2} y^{6}

= 16 a^{2} b^{4} + 40 a x b^{2} y^{3} + 25 x^{2} y^{6}

x \frac{2}{3}

\frac{3}{27}

(- 8 + 10 i) (- 9 + 3 i)

\frac{90}{4}

\frac{- 8 + 6 i}{2 - 8 i}

What is expand (4ab^2+5xy^3)^2 ?
The solution to expand (4ab^2+5xy^3)^2 is 16a^2b^4+40axb^2y^3+25x^2y^6