Question

(1/2a+2d)^2 = bao nhieu

Answer 1

Hi ~

﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌

* ˚ ✦ E x p l a n a t i o n : - * ˚ ✦

Combine multiplied terms into a single fraction.

`\bold{((1)/(2) \: a \: + \: 2d)^2}`

`\bold{((1a)/(2) \: + \: 2d)^2}`

﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌

Multiply by 1.

`\bold{((1a)/(2) \: + \: 2d)^2}`

`\bold{((a)/(2) \: + \: 2d)^2}`

﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌

Find common denominator.

`\bold{((a)/(2) \: + \: 2d)^2}`

`\bold{((a)/(2) \: + \: (2 \: ^. \: 2d)/(y))^2}`

﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌

Combine fractions with common denominator.

`\bold{((a)/(2) \: + \: (2 \: ^. \: 2d)/(y))^2}`

`\bold{((a \: + \: 4)/(2))^2}`

﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌

Multiply the numbers.

`\bold{((a \: + \: 2 \: ^. \: 2d)/(2))^2}`

`\bold{((a \: + \: 4d \: ^. \: 2d))/(2^2)^2}`

﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌

Distribute exponent.

`\bold{((a \: + \: 4d)/(2)^2)}}`

`\bold{((a \: + \: 4d))/(2)^2}`

﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌

Evaluate the exponent.

`\bold{((a \: + \: 4d))/(2^2)^2}}`

`\bold{((a \: + \: 4d))/(4)^2}}`

Your answer would be is:

`{\huge{\boxed{\bold{{\rightarrow{((a \: + \: 4d))/(4)^2}}}}`

Hope It Helps...

`\textsc{Answer:}`

TheAestheticGirl