Question

Please please factor fully.

Answer 1

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;

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

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!

Answer 2

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: $x(x^2-2x+4)$

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: $-4ab(a-4b+2)$