Question

Zapisz jak najprościej:

a)2a(b-3)-2b(a-3)=

b)a(a+b)+a(a-b)+b(b+a)+b(b-a)=

c)5a(a-2)+2a(a+5)=

d)3(a+2b-3c)-2(a-2c)+5(c-b)-(a+b)=

e)8x(x+y)-2y(y-x)+0,5(6x+8x)-2(y+5xy)=

Answer 1

a) 2a(b-3)-2b(a-3)=2ab-6a-2ab+6b=6b-6a
b) a(a+b)+a(a-b)+b(b+a)+b(b-a)= a^2 + ab + a^2 - ab + b^2 + ab + b^2 -ab= 2a^2+2b^2
c) 5a(a-2)+2a(a+5)= 5a^2-10a+2a^2+10=7a^2-10a+10
d) = 3a+6b-9c-3a+4c+5c-5b-a-b=-a
e) = 8x^2+8xy-2y^2+2xy+3x^2+4x^2-2y^2-10xy=15x^2-4y^2

Answer 2

a= 2a(b-3)-2b(a-3)=2ab-6a-2ab+6b=6b-6a
b= a(a+b)+a(a-b)+b(b+a)+b(b-a)= a^2 + ab + a^2 - ab + b^2 + ab + b^2 -ab= 2a^2+2b^2
c = 5a(a-2)+2a(a+5)= 5a^2-10a+2a^2+10=7a^2-10a+10
d = 3a+6b-9c-3a+4c+5c-5b-a-b=-a
e = 8x^2+8xy-2y^2+2xy+3x^2+4x^2-2y^2-10xy=15x^2-4y^2

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