Răspuns :
1..1-2x+x^2+x^2+2x+1-(2x^2-2x+x-1)=1+2x^2 +1-2x^2+2x-x+1=x+3...la celelalte se face la fel
a.(1-x)²+(x+1)²-(2x+1)(x+1)=1-2x+x²+x²+2x+1-2x²-2x-x-1=se reduc -2x cu+2x si - 2x²cu +2x²⇒1-3x
b.(2x-3y)²+(2x+3y)(2x-3y)=4x²-6xy-6xy+9y²+4x²-6xy+6xy-9y²=se reduc -6xy cu +6xy si -9y²cu+9y²⇒8x²-12xy=4x(2x-3y)
c.(2x+3y)²+4x(3x-2)+(2x-1)²=4x²+6xy+9y²+12x²-8x+4x²-4x+1=20x²+6xy+9y²-12x+1=3y(2x+3y)+20x²-12x+1=3y(2x+3y)+(x-1/2)(x+1/2)
d.(3a+2b)²+(2a+b)(2a-b)-(3a-b)²=9a²+12ab+4b²+4a²-2ab+2ab-b²-9a²+6ab-b²=18ab+4a²+2b²=2(2a²+9ab+b²)
e.(3x-1)(3x+1)-(3x+4)²+2(3x-1)²=9x²+3x-3x-1-9x²-12x-12x-16+18X²-12x+2=18x²-36x-17
asa se rezolva si urmatoarele -desfaci parantezele, reduci termeni si aduci la forma cea mai simpla
verifica, poate pe undeva s-au mai strecurat mici greseli de calcul dar in principiu asa se rezolva
bafta
b.(2x-3y)²+(2x+3y)(2x-3y)=4x²-6xy-6xy+9y²+4x²-6xy+6xy-9y²=se reduc -6xy cu +6xy si -9y²cu+9y²⇒8x²-12xy=4x(2x-3y)
c.(2x+3y)²+4x(3x-2)+(2x-1)²=4x²+6xy+9y²+12x²-8x+4x²-4x+1=20x²+6xy+9y²-12x+1=3y(2x+3y)+20x²-12x+1=3y(2x+3y)+(x-1/2)(x+1/2)
d.(3a+2b)²+(2a+b)(2a-b)-(3a-b)²=9a²+12ab+4b²+4a²-2ab+2ab-b²-9a²+6ab-b²=18ab+4a²+2b²=2(2a²+9ab+b²)
e.(3x-1)(3x+1)-(3x+4)²+2(3x-1)²=9x²+3x-3x-1-9x²-12x-12x-16+18X²-12x+2=18x²-36x-17
asa se rezolva si urmatoarele -desfaci parantezele, reduci termeni si aduci la forma cea mai simpla
verifica, poate pe undeva s-au mai strecurat mici greseli de calcul dar in principiu asa se rezolva
bafta