Question

descompuneti in factori
a . 2x la puterea a 3 - x
b. 2x la puterea a 4 - 4x la puterea a 2
c. -x la puterea a 4 plus 2 x la puterea a 3 - x la puterea a 2 plus 3x
d. 5x la puterea a 4 - 10 x la puterea a 3 plus 5 x la puterea a 2

Descompuneti in factori .
a. 3x la puterea a 2 y -24xy plus 48y =
b. 18ax la puterea a 2 plus 24ax plus 8 a =
c. 49 x la puterea a 2 y la puterea a 2 plus 14y la puterea a 2 x plus y la puterea a 2
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Answer 1

a . 2x³ - x =2(2x²-1)=2(x√2-1)(x√2+1)
 b. 2x⁴ - 4x²=2x²(x²-2)=2x²(x-√2)(x+√2)
 c. -x⁴+ 2x³ - x²+3x =x(-x³+2x²-x+3)
d. 5x⁴ - 10 x³+ 5 x²=5x²(x²-2x+1)=5x²(x-1)²


a. 3x²y -24xy + 48y =3y(x² -8x + 16) =3y(x-4)²
 b. 18ax² + 24ax+ 8a =a(18x²+24x+8)=a(3x√2+2√2)²
 c. 49 x² y² + 14y² x + y² =y²(49x²+14x+1)=y²(7x+1)²