Question

1) Descompuneti in factori:
a) x²-y²-4yz-4z²

b) x²-25+2x³+x²

c) (x²+y²-2²)²-4x²y²

d) 25a²-4b²+12bc-9c²

2) Aratati ca (2x+3)³-4(2x+3) este divizibil cu 3 oricare ar fi X∈Z


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Answer 1

a) x^2-y^2-4yz-4z^2=x^2-(y^2+4yz+4z^2)=x^2-(y+2z)^2=(x-y-2z)(x+y+2z)
b)