Expand:
(x + 13) (2x + 5)
(7y + 6) (1y + 50)
(y - 5) (y + 5)
(65t + 1) (3t + 15)
(-7y - 7) (-11y - 21)
(3z - z) (6z + z)
(8 + 2w) (-5 - 2r)
(-r + 12) (-5r - 12)
(x + b) (a - b)
(22i - 10) (4i - 3)
Factorize:
x^2 +5x +6
y^2 - y - 6
m^2 - 5m - 24
x^2 + 13x + 42
z^2 + 18z + 80
r^2 + 36 + 15r
e^2 + 10e + 28
54 + 15c + c^2
t^2 + 2t - 15
x^2 + x - 2
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1.
ReplyDelete(x + 13) (2x + 5)
= 2x^2 + 5x + 26x + 65
= 2x^2 + 31x + 65
solving using quadratic formula
a = 2
b = 31
c = 65
formula : (-b +- square root of b^2 -4ac)/2a
ans. = x = -2.5, -13
EXPANTION
ReplyDeletesolution 2
(7y+6)(1y+50)
7y^2 + 350y + 6y + 300
7y^2 + 356y + 300
solution 3
(y-5)(y+5)
y^2 + 5y - 5y - 25
y^2 - 25
solution 4
(65t+1)(3t+15)
195t^2 + 975t + 3t + 15
195t^2 + 978t + 15
solution 5
(-7y-7)(-11y-21)
77y^2 + 147y + 77y + 147
77y^2 + 224y + 147
solution 6
(3z-z)(6z+z)
18z^2 + 6z - 12z - z
18z^2 - 6z - z
EXPANTION contin...
ReplyDeletesolution 7
(8+2w)(-5-2r)
-40 - 16r - 10w - 4wr
solution 8
(-r+12)(-5r-12)
5r^2 + 12 r - 60r - 144
5r^2 - 48r - 144
solution 9
(x+b)(a-b)
ax - bx + ab - b^2
solution 10
(22i-10)(4i-3)
88i^2 - 66i - 40i + 30
88i^2 - 106i + 30
FACTORIZE....
ReplyDeletesolution 1
x^2 + 5x + 6
(x + 3)(x + 2)
solution 2
y^2 - y - 6
(y - 3)(y + 2)
solution 3
m^2 - 5m - 24
(m - 8)(m + 3)
solution 4
x^2 + 13x + 42
(x + 6)(x + 7)
solution 5
z^2 + 18z + 80
(z + 10)(z + 8)
posted by MISS last month...
ReplyDeleteRecall the approach ax^2 + bx + c ( ) ( )
3x^2 -10x - 8
Step 1 Multiply a by c ac 3 x -8 = -24
Step 2 Write all combinations to get ac __ x __ -1 x 24 1 x -24
-2 x 12 2 x -12
-3 x 8 3 x -8
-4 x 6 4 x -6
Step 3 For each in step2, add the number to get b (-10) 23 -23
10 -10 got it
Step 4 Rewrite question using the two terms for middle term
3x^2 + 2x - 12x - 8
Step 5 Factorize
3x^2 + 2x -12x - 8
x(3x + 2) - 4 (3x + 2)