Question

AYUDA PLISS
factoriza los siguientes polinomios:
A)xz+yz+x+y

B)ab+ac+b²+bc

C)ab+bx-ay-xy

D)a²b³-a²+2b³-2

E)6b²x²-3x²+4b²-2​

Answer 1

Respuesta:

A)

$xz + yz + x + y =x + xz + y + yz \\ = x(1 + z) + y(1 + z) = (1 + z)(x + y)$

B)

$ab + ac + b {}^{2} + bc = a(b + c) + b(b + c) \\ = (b + c)(a + b)$

C)

$ab + bx - ay - xy = ab - ay + bx - xy \\ = a(b - y) + x(b - y) = (b - y)(a + x)$

D)

$a {}^{2} b {}^{3} - a {}^{2} + 2b {}^{3} - 2 = a {}^{2} (b {}^{3} - 1) + 2(b {}^{3} - 1) \\ = (b {}^{3} - 1)(a {}^{2} + 2)$

E)

$6b {}^{2} x {}^{2} - 3x {}^{2} + 4b {}^{2} - 2 = 3x {}^{2}(2b { }^{2} - 1) + 2(2b { }^{2} - 1) \\ = (2b {}^{2} - 1)(3x {}^{2} + 2)$