What is expand (4ab^2-11d^2e)^2 ?

The solution to expand (4ab^2-11d^2e)^2 is 16a^2b^4-88eab^2d^2+121e^2d^4

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expand (4ab^2-11d^2e)^2

expand

(4 a b^{2} - 11 d^{2} e)^{2}

16 a^{2} b^{4} - 88 e a b^{2} d^{2} + 121 e^{2} d^{4}

Solution steps

(4 a b^{2} - 11 d^{2} e)^{2}

= (4 a b^{2} - 11 e d^{2})^{2}

Apply Perfect Square Formula:

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

a = 4 a b^{2}, b = 11 d^{2} e

= (4 a b^{2})^{2} - 2 \cdot 4 a b^{2} \cdot 11 d^{2} e + (11 d^{2} e)^{2}

Simplify

(4 a b^{2})^{2} - 2 \cdot 4 a b^{2} \cdot 11 d^{2} e + (11 d^{2} e)^{2} : 16 a^{2} b^{4} - 88 e a b^{2} d^{2} + 121 e^{2} d^{4}

= 16 a^{2} b^{4} - 88 e a b^{2} d^{2} + 121 e^{2} d^{4}

2 (\frac{1}{y} + 3 y = 5)

\frac{1}{( 3 n - 2 ) ( 3 n + 1 )}

(x + y^{2}) d x - 2 x y d y

B (e^{x} + e^{x} x)

p (6, - 3) q (- 2, - 3)

What is expand (4ab^2-11d^2e)^2 ?
The solution to expand (4ab^2-11d^2e)^2 is 16a^2b^4-88eab^2d^2+121e^2d^4