kikivanderwal
contestada

Please please factor fully.
d) [tex]x^{3}[/tex] - 2[tex]x^{2}[/tex] + 4x
e)6x[tex]^{2}[/tex] y - 3x[tex]x^{3}[/tex]y[tex]^{2}[/tex]
f) 3xy[tex]^{2}[/tex] + 9x[tex]^{2}[/tex]y - 6xy
g) -4a[tex]^{2}[/tex]b + 16ab[tex]^{2}[/tex] - 8ab

Respuesta :

GeorgePP

Answer: My bad if I butchered any answers. It was hard to read tbh

Step-by-step explanation:

D.) You can only factor out an x here. So you'd get: [tex]x(x^2-2x+4)[/tex]

E.) You can factor out a 3x^2y to get: [tex]3x^2y(2-x)[/tex]

F.) You can factor out a 3xy to get: [tex]3xy(y+3x-2)[/tex]

G.) You can factor out a -4ab to get: [tex]-4ab(a-4b+2)[/tex]

Answer:

d ) x( x^2 - 2x + 4 )

e ) 3x^2y( 2 - xy )

f ) 3xy( y + 3x - 2 )

g ) - 4ab( a - 4b + 2 )

Step-by-step explanation:

Let me just clarify whether these were the right expressions before considering the answer;

[tex]d ) x^3 - 2x^2 + 4x\\e ) 6x^2y - 3x^3y^2\\f ) 3xy^2 + 9x^2y - 6xy\\g ) - 4a^2 + 16ab^2 - 8ab[/tex]

Now take a look at the explanation( s ) below;

[tex]x^3 - 2x^2 + 4x\\Common Term = x,\\\\Factored Expression = x \left(x^2-2x+4\right)[/tex]

___________________________________

[tex]6x^2y - 3x^3y^2\\Common Term = 3x^2y,\\\\Factored Expression = 3x^2y\left(2-xy\right)[/tex]

____________________________________

[tex]3xy^2 + 9x^2y - 6xy,\\Common Term = 3xy,\\\\Factored Expression = 3xy\left(y+3x-2\right)[/tex]

____________________________________

[tex]- 4a^2b + 16ab^2 - 8ab,\\Common Term = - 4ab,\\\\Factored Expression = -4ab\left(a-4b+2\right)[/tex]

Hope that helps!