Va rog e urgent!!!5. Descompuneţi în factori:
a) x³ + 2x²-16(x + 2);
d) 16(x + 5)²-9(2x - 3)²;
g) 4x²-9-(2x + 3);
b) x +5r – 9(x +5);
e) 25x² - 4(x²+2x-3)²;
h) 16x-25-3(4x + 5).
c) 36(x-2)²-25(x + 1)²;
f) 9(2x-5)2-4(4x - 3)²
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Răspuns:
a)
x^2•(x+2) - 16(x+2) = (x+2)(x^2 - 16) = (x+2)(x-4)(x+4)
d)
(4x+20-6x+9)(4x+20+6x-9) = (29-2x)(11+10x)
g)
(2x-3)(2x+3) - (2x+3) = (2x+3)(2x-3-1) = 2(x-2)(2x+3)
b)
(x+5)(1-9) = -8(x+5) Dacă e scria corect...
e)
x^2 + 2x - 3 = (x-1)(x+3)
[5x - 2(x-1)(x+3)][5x + 2(x-1)(x+3)] =
(5x - 2x^2 - 4x + 6)(5x + 2x^2 + 4x - 6) = (-2x^2 + x + 6)(2x^2 + 9x - 6)
h)
16x - 25 - 12x - 15 = 4x - 40 = 4(x - 10)
c) (6x - 12 - 5x - 5)(6x - 12 + 5x + 5) = (x - 17)(11x - 7)
f)
(6x - 15 - 8x + 6)(6x - 15 + 8x - 6) = (-2x - 9)(14x - 21) = -3(2x + 9)(2x - 3)