Question

Multiply Conjugates




(r+1/4)r-1/4)

Answer 1

`(a+b)(a-b)=a^2-b^2`

`\left(r+(1)/(4)\right)\left(r-(1)/(4)\right)=r^2-(1)/(16)`

Answer 2

`\large\boxed{\left(r+(1)/(4)\right)\left(r-(1)/(4)\right)=r^2-(1)/(16)}`

Explanation:

`\text{Use}\ (a+b)(a-b)=a^2-b^2\\\\\left(r+(1)/(4)\right)\left(r-(1)/(4)\right)=r^2-\left((1)/(4)\right)^2=r^2-(1^2)/(4^2)=r^2-(1)/(16)`