Question

Please please factor fully.

d)
`x^(3)` - 2
`x^(2)` + 4x
e)6x
`^(2)` y - 3x
`x^(3)`y
`^(2)`
f) 3xy
`^(2)` + 9x
`^(2)`y - 6xy
g) -4a
`^(2)`b + 16ab
`^(2)` - 8ab

Answer 1

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

Explanation:

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

E.) You can factor out a 3x^2y to get:
`3x^2y(2-x)`

F.) You can factor out a 3xy to get:
`3xy(y+3x-2)`

G.) You can factor out a -4ab to get:
`-4ab(a-4b+2)`

Answer 2

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

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

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

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

Explanation:

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

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

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

`x^3 - 2x^2 + 4x\\Common Term = x,\\\\Factored Expression = x \left(x^2-2x+4\right)`

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`6x^2y - 3x^3y^2\\Common Term = 3x^2y,\\\\Factored Expression = 3x^2y\left(2-xy\right)`

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

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

Hope that helps!