What is expand ((2+θ)^2)/2 ?

The solution to expand ((2+θ)^2)/2 is (θ^2)/2+2θ+2

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expand ((2+θ)^2)/2

expand

\frac{( 2 + θ ) ^{2}}{2}

\frac{θ ^{2}}{2} + 2 θ + 2

Solution steps

\frac{( 2 + θ ) ^{2}}{2}

(2 + θ)^{2} = 4 + 4 θ + θ^{2}

= \frac{4 + 4 θ + θ ^{2}}{2}

Apply the fraction rule:

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

\frac{4 + 4 θ + θ ^{2}}{2} = \frac{4}{2} + \frac{4 θ}{2} + \frac{θ ^{2}}{2}

= \frac{4}{2} + \frac{4 θ}{2} + \frac{θ ^{2}}{2}

Divide the numbers:

\frac{4}{2} = 2

= 2 + 2 θ + \frac{θ ^{2}}{2}

Rewrite in standard form

= \frac{θ ^{2}}{2} + 2 θ + 2

\frac{d y}{x} (x^{2} + 16 y^{2} = 25)

(- 6 x - 7 y = 14) \cdot 3

\frac{( c b + d a ) ( c + d )}{ba}

- \frac{( x + 25 ) ^{2}}{49}