Answer and step-by-step explanation:
To find the following terms, factor each square of binomials first by using the FOIL METHOD.
1. (x + 1)^2 = (x + 1)(x+1)
F: (x)(x) = x^2
O: (x)(1) = x
I: (1)(x) = x
L: (1)(1) = 1
= x^2 + 2x + 1
First term: x^2, Second term: 2x, Last term: 1
2. (x + 2)^2 = (x + 2)(x + 2)
F: (x)(x) = x^2
O: (x)(2) = 2x
I: (2)(x) = 2x
L: (2)(2) = 4
= x^2 + 4x + 4
First term: x^2, Second term: 4x, Last term: 4
3. (x + 3)^2 = (x + 3)(x + 3)
F: (x)(x) = x^2
O: (x)(3) = 3x
I: (3)(x) = 3x
L: (3)(3) = 9
= x^2 + 6x + 9
First term: x^2, Second term: 6x, Last term: 9
4. (x + y)^2 = (x + y)(x + y)
F: (x)(x) = x^2
O: (x)(y) = xy
I: (y)(x) = xy
L: (y)(y) = y^2
= x^2 + 2xy + y^2
First term: x^2, Second term: 2xy, Last term: y^2
