Question

What is the polynomial 3y^2+(y+7)^2-15 after it has been fully simplified and written in standard form

Answer 1

Given :

A polynomial
`3y^2 + ( y+7)^2 -15` .

To Find :

The polynomial after fully simplified and written in standard form.

Solution :

`3y^2 + ( y^2 + (2)(7)(y) + 49 ) - 15` [ Using (a+b)² = a² + 2ab + b² ]

`3y^2 + y^2 + 14y + 49 - 15\\\\4y^2 + 14y + 34\\\\`

Therefore, the equation of the polynomial in standard and simplified form is

`4y^2 + 14y + 34\\\\`