Hi ~
* ˚ ✦ E x p l a n a t i o n : - * ˚ ✦
Combine multiplied terms into a single fraction.
[tex]\bold{(\frac{1}{2} \: a \: + \: 2d)^2}[/tex]
[tex]\bold{(\frac{1a}{2} \: + \: 2d)^2}[/tex]
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Multiply by 1.
[tex]\bold{(\frac{1a}{2} \: + \: 2d)^2}[/tex]
[tex]\bold{(\frac{a}{2} \: + \: 2d)^2}[/tex]
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Find common denominator.
[tex]\bold{(\frac{a}{2} \: + \: 2d)^2}[/tex]
[tex]\bold{(\frac{a}{2} \: + \: \frac{2 \: ^. \: 2d}{y})^2}[/tex]
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Combine fractions with common denominator.
[tex]\bold{(\frac{a}{2} \: + \: \frac{2 \: ^. \: 2d}{y})^2}[/tex]
[tex]\bold{(\frac{a \: + \: 4}{2})^2}[/tex]
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Multiply the numbers.
[tex]\bold{(\frac{a \: + \: 2 \: ^. \: 2d}{2})^2}[/tex]
[tex]\bold{\frac{(a \: + \: 4d \: ^. \: 2d)}{2^2}^2}[/tex]
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Distribute exponent.
[tex]\bold{(\frac{a \: + \: 4d}{2}^2)}}[/tex]
[tex]\bold{\frac{(a \: + \: 4d)}{2}^2}[/tex]
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Evaluate the exponent.
[tex]\bold{\frac{(a \: + \: 4d)}{2^2}^2}}[/tex]
[tex]\bold{\frac{(a \: + \: 4d)}{4}^2}}[/tex]
Your answer would be is:
[tex]{\huge{\boxed{\bold{{\rightarrow{\frac{(a \: + \: 4d)}{4}^2}}}}[/tex]
Hope It Helps...
[tex]\textsc{Answer:}[/tex]
TheAestheticGirl