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 =

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 =

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

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

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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

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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

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