What is expand (ace+bdf)^2 ?

The solution to expand (ace+bdf)^2 is e^2a^2c^2+2eacbdf+b^2df^2

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expand (ace+bdf)^2

expand

(a ce + b df)^{2}

e^{2} a^{2} c^{2} + 2 e a c b df + b^{2} d f^{2}

Solution steps

(a ce + b df)^{2}

= (e a c + b df)^{2}

Apply Perfect Square Formula:

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

a = a ce, b = b df

= (a ce)^{2} + 2 a ce b df + (b df)^{2}

Simplify

(a ce)^{2} + 2 a ce b df + (b df)^{2} : e^{2} a^{2} c^{2} + 2 e a c b df + b^{2} d f^{2}

= e^{2} a^{2} c^{2} + 2 e a c b df + b^{2} d f^{2}

(1, - 2, 1) (x + 2 y - z + 3 = 0)

\frac{5}{( s - 5 ) ( s + 5 )}

\frac{24 ( n + 1 )}{n}

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

4 d - 3 (2 d + 6 = 2 (d + 3))

What is expand (ace+bdf)^2 ?
The solution to expand (ace+bdf)^2 is e^2a^2c^2+2eacbdf+b^2df^2