Saturday, March 21, 2009

Expand and Factorize

(27x + 56y) (3 - t)

(52x - 12w) (23x + 3w)

(ax + bx) (x + bx)

(3x - 5) (10x + 4)

(12y - 3x) (20x - 20y)

(4a + 2a) (2x - 4)

(30x - 2y) (30x + 2y)

w (23a + 33x)

(10x - 3) (25y + 11x)

(x - y) (25a)

p (54 + p)

(11x + 11y) (px - 33y)

24x (5x - 5y)

(3r + ab) (3ab + r)

(2xy - x) (z - 20)




Factorize:

7xy^2 + 21xy + 14x

x^2 + 13x + 42

z^2 + 6z - 16

-w^2 + 15w - 50

a^2 + 25a + 150

3x^2 - 5x + 2

6y^2 + 14y + 12

y^2 - 9y - 36

17 comments:

  1. (27x + 56y) (3 - t)
    =81x + 168y + 27tx +56ty

    ReplyDelete
  2. 7xy^2 + 21xy + 14x
    =7x(y^2+3y+2)

    ReplyDelete
  3. x^2 + 13x + 42
    =x^2+6x+7x+42
    =(x+6)(x+7)

    ReplyDelete
  4. y^2 - 9y - 36
    =y^2-3y+12y-36
    =(y-3)(y+12)

    ReplyDelete
  5. question 1
    (27x + 56y) (3 - t)
    =81x + 27xt +168y - 56yt
    =27x(3 + t) + 56y (3 + t)
    = (3+t)(27x + 56y)

    ReplyDelete
  6. question 3
    (ax + bx) (x + bx)
    = ax^2 + abx^2 + bx^2 + (bx)^2
    = x^2(a + ab + b + b^2)

    ReplyDelete
  7. question 5
    (12y - 3x) (20x - 20y)
    = 240x^2 - 240y^2 -60x^2 +60y^2
    = 240(x^2 - y^2)-60(x^2 - y^2)
    = (240 -60)(x^2 - y^2)

    ReplyDelete
  8. question 7
    (30x - 2y) (30x + 2y)
    = 900x^2 + 60xy -60xy -4y^2
    = 900x^2 - 4y^2
    = 4(225x^2 - y^2)

    ReplyDelete
  9. question 9

    (10x - 3) (25y + 11x)
    = 250xy + 110x^2 - 75y - 33x
    = 10x(25y + 11x)-3(25y + 11x)
    = (25y + 11x)(10x - 3)

    ReplyDelete
  10. question 11

    p (54 + p)
    = 54p + p^2

    ReplyDelete
  11. question 1 factorization
    7xy^2 + 21xy + 14x
    divide each term by 7
    xy^2 + 3xy + 2x

    ReplyDelete
  12. 6y^2 + 14y + 12
    divide each term by 2
    3y^2 + 7y + 6

    ReplyDelete
  13. a^2 + 25a + 150
    =a^2+10a+15a+150
    =a(a+10)+15(a+10)
    =(a+15)(a+10)

    ReplyDelete
  14. y^2 - 9y - 36
    =y^2+3y-12y-36
    =y(y+3)-12(y+3)
    =(y-12)(y+3)

    ReplyDelete
  15. (11x+11y)(px-33y)
    11x^2p+363x^2p-11ypx-363y^2
    11xpy(34x^2p+34y)

    ReplyDelete
  16. y^2-9y-36
    =y^2+3y-12y-36
    =y(y+3)-12(y+3)
    =(y-12)(y-3)

    ReplyDelete