Question

can someone help me figure out factoring by grouping like 2ax-7a-2bx+7b???

Answer 1

@ally01203 Hi,

\(\huge \color{red}{\text{Welcome to Open Study}}\ddot\smile\)

for such type of problems, you find what is common between first two terms,
what can u take out common from 2ax-7a ?

Answer 2

a??

Answer 3

correct :)
so what do u get after taking out that common ?

Answer 4

a (2x-7)

Answer 5

that is correct,do the same thing for -2bx+7b

Answer 6

b (-2x+7)

Answer 7

can u take -b common instead of b ?
try it
\(\huge -b(...)\)

Answer 8

-b(2x+7)??

Answer 9

when u take out -b from 7b, u get -7
so u have
\(-b(2x-7)\)\ok?

Answer 10

ooohHH okay cool

Answer 11

then what? :o

Answer 12

so u have
\(\huge a(2x-7)-b(2x-7)\)
take (2x-7) common from this, what u get?

Answer 13

a-b(2x-7)? D:

Answer 14

CORRECT !
just be careful with brackets, it will be
\(\huge (a-b)(2x-7)\)

Answer 15

woo!! is that it?

Answer 16

yes, thats it, u have 2 factors as a-b and 2x-7..
wasn't it easy ? :)

Answer 17

yep thank u much love to u :D

Answer 18

welcome ^_^