Cuaderno Matemáticas - Ejercicios Factorizacion n-Nomios

Caso 1: Factor común monomio

$$x^2+2x => x*(x+2) $$

$$(5y-15xy^2) = 5y*(1-3xy)$$

$$(5z^2-5z+15z^3)=5z*(3z^3+z-1)$$

$$(9my^2-27m^2x^2y^2+18my^2)=9y^2(m-3m^2x^2+2m)=9y^2(-3m^2x^2+3m)=27my^2(1-x^2)$$

$$(6xy^3-9mx^2y^3+12nx^3y^3-3n^2x^4y^3)=3xy^3(2-3mx+4nx^2-n^2x^3)$$

$$(ax+bx+ay+by)=(ax+bx)+(ay+by)=x(a+b)+y(a+b)=(x+y)(a+b) $$

$$(am-bm+an-bn)=(am-bm)+(an-bn)=m(a-b)+n(a-b)=(m+n)(a-b)$$

$$(6ax + 3a + 1 + 2x) = (6ax + 3a) + (2x + 1) = 3a(2x + 1) + (2x+1) = (3a + 1)(2x+1)$$

$$(3x^2-9ax-x + 3a)=x(3x-1)-3a(3x+1)=(x-3a)(3x-1)$$

$$(2a^2x - 5a^2y + 15by - 6bx)=a^2(2x-5y)-3b(2x-5y)=(a^2-3b)(2x-5y)$$

$$(1+14x^2y+49x^4*y^2)=(1+7x^2y)^2$$

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