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Find the following terms (First term, second term, last term)

1 .(x + 1)'2
2. (x + 2)'2
3. (x + 3)'2
4 . (x + y)'2


Sagot :

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