How do you factor by grouping $2xz-3z+8x-12y$ ?

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Answer 1 · 2015-04-15T01:07:10

$2xz-3z+8x-12y$ cannot be factored by grouping.

$(2xz-3z)+(8x-12y)$

$=z(2x-3)+4(2x-3y)$ The expressions in parentheses are not the same, so we cannot factor any further.

If we had started with: $2xz-3color(red)(y)z+8x-12y$ , the we would get:

$color(white)"sssssssssssssssssssss"$ $(2xz-3yz)+(8x-12y)$

$color(white)"ssssssssssssssssss"$ $= z(2x-3y)+4(2x-3y)$

$color(white)"ssssssssssssssssss"$ $= (z+4)(2x-3y)$

How do you factor by grouping 2xz-3z+8x-12y2xz-3z+8x-12y?