Binomios

1.- (x-2)4=(x-2)2(x-2)2=x2-2x-2x+4=x2-4x+4 (x2-4x+4)(x2-4x+4)=x4-4x3+4x2-4x3+16x2-16x-4x3-16x+16x4-8x3+24x2-32x+16
2.- (a+3)4=(a)4+4(a)3+6(a)2(3)2+4(a)2(3)3+(3)4=a4+12a3+54a2+108a+81
3.-(2-x)5=(2-x)5=(2)5-5(2)4(-x)+10(2)3(-x)2-10(2)2(-x)3+5(2)(-x)4-
(-x)5=32+80x+8x2+40x3+10x4+x5
4.- (2x+5y)= (2x4)+4(2x)3(5y)+6(2x)2(5y)2+4(2x)2(5y)3+(5y)4(16x4+160x3y+600x2y21000xy3+625y25.-(a-3)6= (a)6-6(a)5(3)+15(a)4(3)2-20(a)3(3)315(a)2(3)4-6(a)(3)5+(3)6=a6-18a5+135a4-540a3+12152-1458ª+18
6.-(2ª-b)6=(2ª)6-6(2ª)5(b)+5(2ª)4(b)2-4(2a)3(b)3+3(2a)2(b)4-6(2a)(b)5+(b)6=2a6-12a5b+10a4b2-8a3b3+6a2b4-12ab5+b6
7.(x2+2g3)5=(x2)5+5(x2)4(2y3)+10(x2)3(2y3)2+10(x2)2(2y3)3+5(x2)(2y3)4+(2y3)5=x10+10x8y3+40x6y6+80x4y9+80x2y12+32y158.(x3+1)6=(x3)6+6(x3)5(1)2+12(x3)3(1)3+6(x3)2(1)4+6(x3)(1)5+(1)6=x18+6x15+12x12+12x9+6x6+6x3+1
9.- (2a-3b)5=2a5-5a4(3b)+10a3(3b)2-10a2(3b)3+5ª(3b)4-(3b)5=2a5-15a4b+30a2b3+15ab4-3b5
10.-(x4-5y3)6=(x4)6-6(x4)5(-5y3)+15(x4)4(-5y3)2-20(x4)3(-5y3)3+15(x4)2(-5y3)4-6(x4)(-5y3)5+(-5y3)6=x24+30x20y3-75x16y6+100x12y9+75x8y12+30x4y15-5y18
11.-(2x-y/2)6=(2x)6-6(2x)5(y/2)+15(2x)4(y/-2)2-20(2x)3(-y/2)3+15(2x)2(-y/2)4-6(2x)(-y/2)5+(-y/2)6=2x6+6x5y-15/2x4y2+5x3y3-15/8x2y4+3/8xy5-1/64y6
12.- (3-x2/3)5= (3)5-24(x2/3)+123(x2/3)2-72(x2/3)4-(x2/3)5(8)+16/3x2+192x4+49/27x6+8/81x8-1/243x10
13.-(2m3-3n4)6=(2m3)6-6(2m3)5(-3n4)+15(2m3)4(-3n4)2-20(2m3)3(-3n4)3+15(2m3)2(-3n4)-6(2m3)(-3n4)5+(-3n4)664m18+576m15n4+2160m12n8+4320m9n12+4860m6n16+2916m3n20+729n24
14.- (x2-3)7=(x2)7-7(x2)6(-3)+21(x2)5(-3)2-35(x2)4(-3)3+35(x2)3(-3)4-21(x2)2(-3)5+7(x)(-3)6-(-3)7x14+21x12+189x10+945x8+2035x6+5103x4+15309x+2187
15.-(3a-b2/3)5=(3a)5-5(3a)4(b2/3)+10(3a)3(b2/3)2-10(3a)2(b2/3)3+5(3ª)(b2/3)4-(b2/3)5243a5-135a4b2+90a3b4-30a2b6+5ab8-1/3b10
16.(x2+2y2)7=(x2)7+7(x2)6(2y2)+21(x2)5(2y2)2+35(x2)4(2y2)3+35(x2)3(2y2)4+21(x2)2(2y2)5+7(x2)(2y2)7x14+14x12y2+84x10y4+280x8y6+560x6y8+672x4y10448x2y12+128y14
17.-...