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Piciulake
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5.Scoateti factor comun pe ( x- 3 )
a. (x+1)(x-3)+(x-3)(5x+2)
b. (2x+5)(x-3)+(x-3)(x-2)
c. (3x-1)(x-3)+(x-3)
d. (x-3)(x-2)-(x-3)

Răspuns :

Renatemambouko
a. (x+1)(x-3)+(x-3)(5x+2)=(x-3)(x+1+5x+2)=(x-3)(6x+3)=3(x-3)(2x+1)
b. (2x+5)(x-3)+(x-3)(x-2)=(x-3)(2x+5+x-2)=(x-3)(3x+3)=3(x-3)(x+1)
c. (3x-1)(x-3)+(x-3)=(x-3)(3x-1+1)=3x(x-3)
d. (x-3)(x-2)-(x-3)=(x-3)(x-2-1)=(x-3)(x-3)=(x-3)²