What is expand (4ab^2+6xy^3)^2 ?

The solution to expand (4ab^2+6xy^3)^2 is 16a^2b^4+48axb^2y^3+36x^2y^6

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expand (4ab^2+6xy^3)^2

expand

(4 a b^{2} + 6 x y^{3})^{2}

16 a^{2} b^{4} + 48 a x b^{2} y^{3} + 36 x^{2} y^{6}

Solution steps

(4 a b^{2} + 6 x y^{3})^{2}

Apply Perfect Square Formula:

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

(4 a b^{2} + 6 x y^{3})^{2} = (4 a b^{2})^{2} + 2 \cdot 4 a b^{2} \cdot 6 x y^{3} + (6 x y^{3})^{2}

= (4 a b^{2})^{2} + 2 \cdot 4 a b^{2} \cdot 6 x y^{3} + (6 x y^{3})^{2}

Simplify

(4 a b^{2})^{2} + 2 \cdot 4 a b^{2} \cdot 6 x y^{3} + (6 x y^{3})^{2} : 16 a^{2} b^{4} + 48 a x b^{2} y^{3} + 36 x^{2} y^{6}

= 16 a^{2} b^{4} + 48 a x b^{2} y^{3} + 36 x^{2} y^{6}

\frac{x ^{2} + 6 x}{x ^{2} - 36}

(5 x - 2 y) (5 x + 2 y)

lo g_{9} (12)

\frac{x ^{2} - 25}{x ^{2} - 3 x - 10}

\frac{56}{15}

What is expand (4ab^2+6xy^3)^2 ?
The solution to expand (4ab^2+6xy^3)^2 is 16a^2b^4+48axb^2y^3+36x^2y^6