What is expand (6c^2d-d^2e)^2 ?

The solution to expand (6c^2d-d^2e)^2 is 36c^4d^2-12ec^2d^3+e^2d^4

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expand (6c^2d-d^2e)^2

expand

(6 c^{2} d - d^{2} e)^{2}

36 c^{4} d^{2} - 12 e c^{2} d^{3} + e^{2} d^{4}

Solution steps

(6 c^{2} d - d^{2} e)^{2}

= (6 c^{2} d - e d^{2})^{2}

Apply Perfect Square Formula:

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

a = 6 c^{2} d, b = d^{2} e

= (6 c^{2} d)^{2} - 2 \cdot 6 c^{2} d d^{2} e + (d^{2} e)^{2}

Simplify

(6 c^{2} d)^{2} - 2 \cdot 6 c^{2} d d^{2} e + (d^{2} e)^{2} : 36 c^{4} d^{2} - 12 e c^{2} d^{3} + e^{2} d^{4}

= 36 c^{4} d^{2} - 12 e c^{2} d^{3} + e^{2} d^{4}

\frac{y ^{8} + 2 y ^{4} + 1}{4 y ^{4}}

e^{i t} (- i + 1)

\frac{y ^{'} ( t )}{( m ( t ) - y ) ( y - m ( t ) )}

5 (2 x y^{2} + 2 y \frac{d}{d x} ((y) x^{2}))

r (2, 2, - 1) \cdot s (1, - 2, 3)

What is expand (6c^2d-d^2e)^2 ?
The solution to expand (6c^2d-d^2e)^2 is 36c^4d^2-12ec^2d^3+e^2d^4