(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
Saturday, March 21, 2009
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(27x + 56y) (3 - t)
ReplyDelete=81x + 168y + 27tx +56ty
7xy^2 + 21xy + 14x
ReplyDelete=7x(y^2+3y+2)
x^2 + 13x + 42
ReplyDelete=x^2+6x+7x+42
=(x+6)(x+7)
y^2 - 9y - 36
ReplyDelete=y^2-3y+12y-36
=(y-3)(y+12)
question 1
ReplyDelete(27x + 56y) (3 - t)
=81x + 27xt +168y - 56yt
=27x(3 + t) + 56y (3 + t)
= (3+t)(27x + 56y)
question 3
ReplyDelete(ax + bx) (x + bx)
= ax^2 + abx^2 + bx^2 + (bx)^2
= x^2(a + ab + b + b^2)
question 5
ReplyDelete(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)
question 7
ReplyDelete(30x - 2y) (30x + 2y)
= 900x^2 + 60xy -60xy -4y^2
= 900x^2 - 4y^2
= 4(225x^2 - y^2)
question 9
ReplyDelete(10x - 3) (25y + 11x)
= 250xy + 110x^2 - 75y - 33x
= 10x(25y + 11x)-3(25y + 11x)
= (25y + 11x)(10x - 3)
question 11
ReplyDeletep (54 + p)
= 54p + p^2
question 1 factorization
ReplyDelete7xy^2 + 21xy + 14x
divide each term by 7
xy^2 + 3xy + 2x
6y^2 + 14y + 12
ReplyDeletedivide each term by 2
3y^2 + 7y + 6
a^2 + 25a + 150
ReplyDelete=a^2+10a+15a+150
=a(a+10)+15(a+10)
=(a+15)(a+10)
y^2 - 9y - 36
ReplyDelete=y^2+3y-12y-36
=y(y+3)-12(y+3)
=(y-12)(y+3)
24x(5x-5y)
ReplyDelete120x^2-120xy
(11x+11y)(px-33y)
ReplyDelete11x^2p+363x^2p-11ypx-363y^2
11xpy(34x^2p+34y)
y^2-9y-36
ReplyDelete=y^2+3y-12y-36
=y(y+3)-12(y+3)
=(y-12)(y-3)