What is expand (dfx+yz)^2 ?

The solution to expand (dfx+yz)^2 is x^2df^2+2xyzdf+y^2z^2

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expand (dfx+yz)^2

expand

(df x + yz)^{2}

x^{2} d f^{2} + 2 x yz df + y^{2} z^{2}

Solution steps

(df x + yz)^{2}

= (x df + yz)^{2}

Apply Perfect Square Formula:

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

a = df x, b = yz

= (df x)^{2} + 2 df x yz + (yz)^{2}

Simplify

(df x)^{2} + 2 df x yz + (yz)^{2} : x^{2} d f^{2} + 2 x yz df + y^{2} z^{2}

= x^{2} d f^{2} + 2 x yz df + y^{2} z^{2}

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What is expand (dfx+yz)^2 ?
The solution to expand (dfx+yz)^2 is x^2df^2+2xyzdf+y^2z^2