Question

How do you factor the expression `49y^2 + 112y + 64`?

Answer 1

`49y^2+112y+64=(7y+8)^2`

Explanation:

`49y^2+112y+64=7^2y^2+2*7*8y+8^2=`
`=(7y)^2+2*7*8y+8^2`

Use the Square of a binomial rule

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

with:

`a=7y`
`b=8`