Question

Simplifica y resuelve los siguientes ejercicios extrayendo el factor comun:
a) 8yx^2 / 6xy - 4x^2 / 2x=
b) 45x^3y - 15x^2y^2 / 15yx^2=
c) 12b^2a - 14ba^2 + 6a^2b / 9b - 7a=

Answer 1

a)
$\frac{8yx^{2}}{6xy}- \frac{4x^{2}}{2x}=\frac{4x}{3}- 2x= \frac{4x-6x}{3}= \boxed{ -\frac{2x}{3}}$

b)
$45x^{3}y- \frac{15x^{2}y^{2}}{15yx^{2}}= 45x^{3}y- y= \boxed{y(45x^{3}-1)}$

c)
$12b^{2}a-14ba^{2}+ \frac{6a^{2}b}{9b}-7a=12b^{2}a-14ba^{2}+ \frac{2a^{2}}{3}-7a= \\ \\ = \boxed{2ba(6b-7a)+a( \frac{2a}{3}-7)}$