Question

descompune in factori următoarele expresii algebrice: a)3x-3y; b)x²y+2xy²; c) x²+6×+9; d) 4ײ-1


calculează folosind formule de calcul prescurtat:
a) 29²+42×29+21²
b) 253²-153²



descompune in factori
a) 3׳y-6x²y²+3xy
b)xy+x+y+1
c) x⁴-16
d) x²-y²-2x-4y



urgent, vă rog frumos​

Answer 1

Răspuns:

descompune in factori următoarele expresii algebrice:

a)3x-3y = 3(x - y)

âb)x²y+2xy² = xy(x + 2y)

c) x²+6×+9 = (x +3)(x + 3)

d) 4ײ-1  = (2x - 1)(2x + 1)

calculează folosind formule de calcul prescurtat:

a) 29²+42×29+21²  = (29 + 21)² = 50² = 2500

b) 253²-153² = (253 + 153)(253 - 153) = 406 x 100 = 40600

descompune in factori

a) 3׳y-6x²y²+3xy  = 3xy(x² - 2xy + 1) = 3xy(x-1)(x - 1)

b) xy+x+y+1  = x(y + 1) + y + 1 = (y + 1)(x + 1)

c) x⁴-16  = (x² - 4)(x² + 4) = (x - 2)(x + 2)(x² + 4)

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