Question

3ax – 6xy + 8by – 4bx,
Factorise

Answer 1

we have to factorise 3ax - 6xy + 8by - 4bx

it seems your question has taken little mistake. question should be ---> 3ax - 6ay + 8by - 4bx

now, 3ax - 6ay + 8by - 4bx

= 3a × x - 3a × 2y + 4b × 2y - 4b × x

= 3a (x - 2y) + 4b(2y - x)

= 3a (x - 2y) - 4b(x - 2y)

= (3a - 4b)(x - 2y)

hence, given expression has two factors (3a - 4b) and (x - 2y) .

Answer 2

$<h3>Factorise 3ax - 6xy + 8by - 4bx</h3>$ $<b>Correct question is</b>$ ⟹ 3ax - 6ay + 8by - 4bx

Now, $3ax - 6ay + 8by - 4bx$

$= 3a × x - 3a × 2y + 4b × 2y - 4b × x$

$= 3a (x - 2y) + 4b(2y - x)$

$= 3a (x - 2y) - 4b(x - 2y)$

$= (3a - 4b)(x - 2y)$

$<b>So, the factors are (3a - 4b) and (x - 2y) .</b>$