EJERCICIOS DE PRODUCTOS NOTABLES
Reduce:
(2x + 3)2 – (2x – 3)2 + (3x – 4)2 – 8x2 – 16
Reduce:
22 )2332()2332(A
Efectúa:
E = (x + 2y)2 – (x – 2y)2 – 4xy
Reduce:
R = (a + b)2 – (b – a)2 + (a – 2b)2 – a2 – 4b2
Si:x + y = 2
x2 + y2 = 3 ; x > yHalla:
P = x – y + x4 + y4 – 8
Reduce:
)2b2a(4
2)ba(2)ba(
Reduce:
(x + 1)2 + (x + 2)2 + (x + 3)2 + (x – 4)2 – 4x(x+1)
Reduce:
22
22
)2()2(4)35()35(
babaabbabaM
Si:x – y = 9
Calcula:
19)2(4)3( 2 xyyyxE
Si:2 (x2 + y2) = (x + y)2
Calcula el valor de:
yxy
xyx
yxyx
26
5233
2
33
Si:a + b = 7ab = 10
Calcula el valor de:M = a2 + b2 + 2a + 2b
Si:a + b = 7
ab = 4Calcula el valor de:
M = a2 + b2
Efectúa:
M = (x + 2)2 + (x + 4)2 – 2(x + 3)2
Si:
Calcula el valor de:M = a2 + b2
2 35
a bab
Reduce:
2 2(2 3 ) (2 3 )M 12a b a b
ab
Reduce:
2 22
( 5 2) +( 5 2)K(2 7)
Calcula:
2 2M=(3x+2) 9( 1) 30 x x
Si:
Calcula el valor de:
125
a bab
2 2K 34 a b
Si:
Calcula el valor de:
2 2 84
x yx y
x yy x
Reduce:
2 2M ( 2) ( 3) 2 ( 5) x x x x
Reduce:
22
42222
1a1a
x2axax