What is expand ((x+yz)^2)/4 ?

The solution to expand ((x+yz)^2)/4 is (x^2)/4+(xyz)/2+(y^2z^2)/4

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expand ((x+yz)^2)/4

expand

\frac{( x + yz ) ^{2}}{4}

\frac{x ^{2}}{4} + \frac{x yz}{2} + \frac{y ^{2} z ^{2}}{4}

Solution steps

\frac{( x + yz ) ^{2}}{4}

(x + yz)^{2} = x^{2} + 2 x yz + y^{2} z^{2}

= \frac{x ^{2} + 2 x yz + y ^{2} z ^{2}}{4}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{x ^{2} + 2 x yz + y ^{2} z ^{2}}{4} = \frac{x ^{2}}{4} + \frac{2 x yz}{4} + \frac{y ^{2} z ^{2}}{4}

= \frac{x ^{2}}{4} + \frac{2 x yz}{4} + \frac{y ^{2} z ^{2}}{4}

Cancel

\frac{2 x yz}{4} : \frac{x yz}{2}

= \frac{x ^{2}}{4} + \frac{x yz}{2} + \frac{y ^{2} z ^{2}}{4}

\frac{3 ( 2 + s )}{2 ( s + 1 ) ( 3 + s )}

9 - c

\frac{1}{( 2 x - 1 ) ^{3}}

A (- 4, - 1) B (- 2, - 3) C (2, 5)

, (4) (2 x + 1)

What is expand ((x+yz)^2)/4 ?
The solution to expand ((x+yz)^2)/4 is (x^2)/4+(xyz)/2+(y^2z^2)/4