Question

Find the product of (x + 7)2. (1 point)

x2 − 14x + 49

x2 + 14x + 49

x2 − 49

x2 + 49

Answer 1

General form for squaring a binomial is
`(a+b)^(2) = a^(2) + 2ab + b^(2)`
In this binomial, the a is x and b is 7 so plug in and chug:

`x^(2) +2(x)(7) + 7^(2)`

`x^(2) + 14x + 49` - Final answer

Answer 2

ANSWER


`{(x + 7)}^(2) = {x}^(2) + 14x + 49`

Step-by-step explanation

The given expression is


`{(x + 7)}^(2)`


We can rewrite this as,


`= (x + 7)(x + 7)`


Recall that,


`(a + b)(c + d) = ac + ad + bc + bd`

This is called the distributive property.

We apply the distributive property to get,




`{(x + 7)}^(2) = {x}^(2) + 7x + 7x + {7}^(2)`


This simplifies to


`{(x + 7)}^(2) = {x}^(2) + 14x + 49`
The correct answer is B.