BINOMIALS: SQUARED AND MULTIPLIED |
QUESTIONS
A/ Square these binomials in one step:
1) (x 7) 2 = | 2) (3a 2b) 2 = | 3) (2x + y) 2 = |
4) (2x3 + 4) 2 = | 5) (3y 5z) 2 = | 6) (6a + 5b) 2 = |
( solutions )
B/ Factor these perfect square trinomials in one step:
1) 4x2 12x + 9 = | 2) 25a2 + 40a + 16 = | 3) 16y2 48y + 36 = |
4) x2 2x + 1 = | 5) 1 + 18b + 81b2 = | 6) 9c2 30cd + 25d2 = |
7) 3x2 + 6x + 3 = | 8) 5x2 + 10x 5 = |
( solutions )
C/ Multiply using the FOIL method:
1) (2x + 3)(4x 5) = | 2) (2 7x)(9 + 2x) = |
3) (9m 2n)(3m n) = | 4) (5x 3y)(2x + 9y) = |
5) (xy + 1)(3xy 1) = | 6) (2x + 3n)(2x 3n) = |
7) (4c 5d)(c + 2d) = | 8) (3m2 2n2)(2m2 n2) = |
9) (6t + 1)(3t 2) = | 10) (2m + 3t)(3m 4t) = |
( solutions )
SOLUTIONS
A/ Square these binomials in one step:
1) x2 14x + 49 | 2) 9a2 12ab + 4b2 | 3) 4x2 + 4xy + y2 |
4) 4x6 + 16x3 + 16 | 5) 9y2 30yz + 25z2 | 6) 36a2 + 60ab +25b2 |
.
B/ Factor these perfect square trinomials in one step:
1) (2x 3)2 | 2) (5a + 4)2 | 3) 4 (2y 3)2 |
4) (x 1)2 | 5) (1 + 9b)2 | 6) (3c 5d)2 |
7) 3(x + 1)2 | 8) 5(x 1)2 |
.
C/ Multiply using the FOIL method:
1) (2x + 3)(4x 5) = 8x2 +2x 15 | 2) (2 7x)(9 + 2x) = 18 59x 14x2 |
3) (9m 2n)(3m n) = 27m2 15mn + 2n2 | 4) (5x 3y)(2x + 9y) = 10x2 +39xy 27y2 |
5) (xy + 1)(3xy 1) = 3x2y2 + 2xy 1 | 6) (2x + 3n)(2x 3n) = 4x2 9n2. |
7) (4c 5d)(c + 2d) = 4c2 + 3cd 10d2 | 8) (3m2 2n2)(2m2 n2) = 6m4 7m2n2 + 2n4. |
9) (6t + 1)(3t 2) = 18t2 9t 2 | 10) (2m + 3t)(3m 4t) = 6m2 + mt 12t2 |
.
(all content of the MathRoom Lessons © Tammy the Tutor; 2002 - 200?).