BINOMIO AL CUADRADO.

BINOMIO AL CUADRADO.

1. (m+3)2= m2 +2(m.3)+32= m2+2(3m)+9= m2+6m +9

2. (5+x)2= (x+5)2= x2 + 2(x.5) +52= x2+2(5x) +25= x2 +10x +25

3. (6a -b)2= (6a)2+ 2(6a.- b) +b2= 36a2 + 2(6ab) +b2= 36a2 -12ab +b2

4. (4m+9)2= (4m)2 + 2(4m.9) +92= 16m2 + 2(36m) +81=16m2 +72m +81

5. (7x-11)2= (7x)2 + 2(7x . -11) -112= 49x2 + 2(77x) + 121=  49x2 -154x +121

6. (x+y)2= x2 + 2(x.y) +y2= x2 + 2xy +y2

7. (3x2 - 1)2= (3x2)2 + 2(3x2.-1) +12= 9x4 + 2(x2) +1=9x4 -6x2 +1

8. (2x - 3y)2= (2x)2 + 2 (2x.3y) + (3y)2 = 4x2 +2(6xy) + (3y)2= 4x2 +12xy +9y2

9. (a2x +by2)2= (a2x)2 + 2(a2x. by2) + (by2)2= a4x2 +2(a2bxy2) +b2y4=  a4x2 +2 a4x2 + b2y4

10. (3a3+8b4)2= (3a3)2 + 2(3a3. 8b4) + (8b4)2= 9a6 + 2(24a3b4) +64b8= 9a6+48 a3b4 +64b8

11.(4m5 -5n6)2= (4m5)2 + 2 (4m5. -5n6)2 + (5n6)2 =16m10 +2(20m5n6) + 25n12=16m10 -40 m5n6+25n12

12.(7a2b3 +5x4)2=(7a2b3)2 + 2(7a2b3. 5x4) + (5x4)2= 49a4+2(35 a2b3x4) + 25x8)= 49a4 +70 a2b3x4 +25x8

13. (4ab2 +5y3)2= (4ab2)2 + 2(4ab2. 5y3) + (5y3)2= 16a2b4+2(20ab2y3) +25y6=16a2b4+40 ab2y3+25y6

14. (8x2 -9m3)2= (8x2)2 +2(8x2. -9m3) + (-9m3)2=64x4 + 2(72m3x2) +81m6=64x4-144 m3x2+81m6

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