4(2-x)^2+5(x-5)^2
1) (2-хВыражение: 4*(2-x)^2+5*(x-5)^2
Ответ: 141-66*x+9*x^2
Решаем по действиям:1. (2-x)^2=4-4*x+x^2 (2-x)^2=((2-x)*(2-x)) 1.1. (2-x)*(2-x)=4-4*x+x^2 (2-x)*(2-x)=2*2-2*x-x*2+x*x 1.1.1. 2*2=4 X2 _2_ 4 1.1.2. -2*x-x*2=-4*x 1.1.3. x*x=x^2 x*x=x^(1+1) 1.1.3.1. 1+1=2 +1 _1_ 22. 4*(4-4*x+x^2)=16-16*x+4*x^2 4*(4-4*x+x^2)=4*4-4*4*x+4*x^2 2.1. 4*4=16 X4 _4_ 16 2.2. 4*4=16 X4 _4_ 163. (x-5)^2=x^2-10*x+25 (x-5)^2=((x-5)*(x-5)) 3.1. (x-5)*(x-5)=x^2-10*x+25 (x-5)*(x-5)=x*x-x*5-5*x+5*5 3.1.1. x*x=x^2 x*x=x^(1+1) 3.1.1.1. 1+1=2 +1 _1_ 2 3.1.2. -x*5-5*x=-10*x 3.1.3. 5*5=25 X5 _5_ 254. 5*(x^2-10*x+25)=5*x^2-50*x+125 5*(x^2-10*x+25)=5*x^2-5*10*x+5*25 4.1. 5*10=50 X5 _1_0_ 50 4.2. 5*25=125 X25 _ _5_ 1255. 4*x^2+5*x^2=9*x^26. -16*x-50*x=-66*x7. 16+125=141 +125 _ _1_6_ 141
Решаем по шагам:1. 4*(4-4*x+x^2)+5*(x-5)^2 1.1. (2-x)^2=4-4*x+x^2 (2-x)^2=((2-x)*(2-x)) 1.1.1. (2-x)*(2-x)=4-4*x+x^2 (2-x)*(2-x)=2*2-2*x-x*2+x*x 1.1.1.1. 2*2=4 X2 _2_ 4 1.1.1.2. -2*x-x*2=-4*x 1.1.1.3. x*x=x^2 x*x=x^(1+1) 1.1.1.3.1. 1+1=2 +1 _1_ 22. 16-16*x+4*x^2+5*(x-5)^2 2.1. 4*(4-4*x+x^2)=16-16*x+4*x^2 4*(4-4*x+x^2)=4*4-4*4*x+4*x^2 2.1.1. 4*4=16 X4 _4_ 16 2.1.2. 4*4=16 X4 _4_ 163. 16-16*x+4*x^2+5*(x^2-10*x+25) 3.1. (x-5)^2=x^2-10*x+25 (x-5)^2=((x-5)*(x-5)) 3.1.1. (x-5)*(x-5)=x^2-10*x+25 (x-5)*(x-5)=x*x-x*5-5*x+5*5 3.1.1.1. x*x=x^2 x*x=x^(1+1) 3.1.1.1.1. 1+1=2 +1 _1_ 2 3.1.1.2. -x*5-5*x=-10*x 3.1.1.3. 5*5=25 X5 _5_ 254. 16-16*x+4*x^2+5*x^2-50*x+125 4.1. 5*(x^2-10*x+25)=5*x^2-50*x+125 5*(x^2-10*x+25)=5*x^2-5*10*x+5*25 4.1.1. 5*10=50 X5 _1_0_ 50 4.1.2. 5*25=125 X25 _ _5_ 1255. 16-16*x+9*x^2-50*x+125 5.1. 4*x^2+5*x^2=9*x^26. 16-66*x+9*x^2+125 6.1. -16*x-50*x=-66*x7. 141-66*x+9*x^2 7.1. 16+125=141 +125 _ _1_6_ 141