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