Binomial Worksheet
1Develop the following square binomials:
1(x + 5)2 =
2(2x − 5)2 =
3(3x − 2)2 =
4
2Develop the following cube binomials:
1 (2x − 3)3 =
2(x + 2)3 =
3(3x − 2)3 =
4(2x + 5)3 =
3Develop the following expressions:
1(3x − 2) · (3x + 2) =
2(x + 5) · (x − 5) =
3(3x − 5) · (3x − 5) =
4Develop the following expressions:
1(x2 − x + 1)2 =
2 8x3 + 27 =
38x3 − 27 =
4(x + 2) (x + 3) =
1
Develop the following square binomials:
1(x + 5)2 =
= x2 + 2 · x · 5 + 52 =
= x 2 + 10 x + 25
2(2x − 5)2 =
= (2x)2 − 2 · 2x ·5 + 52 =
= 4x2 − 20 x + 25
2(2x − 5)2 =
= (2x)2 − 2 · 2x ·5 + 52 =
= 4x2 − 20 x + 25
4
2
Develop the following cube binomials:
1 (2x − 3)3 = (2x)3 − 3 · (2x)2 ·3 + 3 · 2x· 32 − 33=
= 8x 3 − 36 x2 + 54 x − 27
2(x + 2)3 = x3 + 3 · x2 ·2 + 3 · x· 22 + 23 =
= x3 + 6x2 + 12x + 8
3(3x − 2)3 = (3x)3 − 3 · (3x)2 ·2 + 3 · 3x · 2 2 − 23 =
= 27x 3 − 54x2 + 36x − 8
4(2x + 5)3 = (2x)3 + 3 ·(2x)2 · 5 + 3 · 2x · 52 + 53 =
= 8x3 + 60 x2 + 150x + 125
3
Develop the following expressions:
1(3x − 2) · (3x + 2) =
= (3x)2 − 22 =
= 9x2 − 4
2(x + 5) · (x − 5) =
= x2 − 25
3(3x − 5) · (3x − 5) =
= (3x) 2 − 52 =
= 9x 2 − 25
4
Develop the following expressions:
1(x2 − x + 1)2 =
(x2 − x + 1)2 =
= (x2)2 + (−x)2 + 12 +2 · x2 · (−x) + 2 x2 · 1 + 2 · (−x) · 1=
= x4 + x2 + 1 − 2x3 + 2x2 − 2x=
= x4− 2x3 + 3x2 − 2x + 1
2 8x3 + 27 =
(2x + 3) (4x2 − 6x + 9)
38x3 − 27 =
(2x − 3) (4x2 + 6x + 9)
4(x + 2) (x + 3) =
= x2 + (2 + 3)x + 2 · 3 =
= x2 + 5x + 6
