Răspuns:
Pt exercitiile 1-3 se aplica formula
A²-B²=(A-b)(A+B)
ex 1 ti-a fost rezolvat
Ex 2
4x²-(x²-5x)²=[2x-(x²-5X)][2x+(x²-5x)]=
(2x-x²+5x)(2x+x²-5x)=
(-x²+7x)(x²-3x)
Ex3
(3x+2)²-25x²=
(3x+2-5x)(3x+2+5x)=(-2x+2)(8x+2)
ex4
x²-4x+4=(x-2)²
y²+6y+9=(y+3)²
x²-4z+4+y²+6y+9=(x-2)²+(y+3)²--------------
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ex5
x²-2x+4y²-12y+10=
x²-2x+4y²-12y+1+9=
x²-2x+1+(4y²-12y+9)=
(x-1)²+(2y-3)²
Explicație pas cu pas: