What is expand (d^2+de^2)^2 ?

The solution to expand (d^2+de^2)^2 is d^4+2e^2d^3+e^4d^2

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expand (d^2+de^2)^2

expand

(d^{2} + d e^{2})^{2}

d^{4} + 2 e^{2} d^{3} + e^{4} d^{2}

Solution steps

(d^{2} + d e^{2})^{2}

= (d^{2} + e^{2} d)^{2}

Apply Perfect Square Formula:

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

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

= (d^{2})^{2} + 2 d^{2} d e^{2} + (d e^{2})^{2}

Simplify

(d^{2})^{2} + 2 d^{2} d e^{2} + (d e^{2})^{2} : d^{4} + 2 e^{2} d^{3} + e^{4} d^{2}

= d^{4} + 2 e^{2} d^{3} + e^{4} d^{2}

4 (x - 3 y = 4)

f^{''} (x) (2 x - 6)^{2}

- 2 (- (1 + x) y - y^{2} - 2 y^{3})^{3}

\frac{[ x ^{2} ]}{[ ( x + 1 ) ^{2} ]}

\frac{- 3 x ^{2}}{x ^{2} + 1}

What is expand (d^2+de^2)^2 ?
The solution to expand (d^2+de^2)^2 is d^4+2e^2d^3+e^4d^2