What is expand ((x+8)/2)^2 ?

The solution to expand ((x+8)/2)^2 is (x^2)/4+4x+16

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expand ((x+8)/2)^2

expand

(\frac{x + 8}{2})^{2}

\frac{x ^{2}}{4} + 4 x + 16

Solution steps

(\frac{x + 8}{2})^{2}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( x + 8 ) ^{2}}{2 ^{2}}

(x + 8)^{2} = x^{2} + 16 x + 64

= \frac{x ^{2} + 16 x + 64}{2 ^{2}}

2^{2} = 4

= \frac{x ^{2} + 16 x + 64}{4}

Apply the fraction rule:

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

\frac{x ^{2} + 16 x + 64}{4} = \frac{x ^{2}}{4} + \frac{16 x}{4} + \frac{64}{4}

= \frac{x ^{2}}{4} + \frac{16 x}{4} + \frac{64}{4}

Divide the numbers:

\frac{16}{4} = 4

= \frac{x ^{2}}{4} + 4 x + \frac{64}{4}

Divide the numbers:

\frac{64}{4} = 16

= \frac{x ^{2}}{4} + 4 x + 16

(x + 1) \cdot (1 - 3 x + 2)

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c a r t ec iana s (1, - 2) p e n d i e n t e - 3

F (0, - 4)

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What is expand ((x+8)/2)^2 ?
The solution to expand ((x+8)/2)^2 is (x^2)/4+4x+16