Question

Factorize 2(3x - 2)^2 - 3 (3x - 2) - 5

Answer 1

Answer:

» ( 3x - 1 ) ( 6x - 9 ) ___ IS YOUR ANSWER

Step-by-step explanation:

» 2 ( 3x - 2 )² - 3 ( 3x - 2 ) - 5

let any letter, say a = ( 3x - 2 )

Now we have to replace ( 3x - 2 ) with ' a '

So, the above equation becomes,

» 2a² - 3a - 5

Now it is kids play... Isn't it?? Let it be and let's solve more...

Split the middle term...

» 2a² - 5a + 2a - 5

I assume you must be knowing how to split the middle term

Lets move ahead...

Now, take anything common that you find in the Equation above...

here, it is

» a ( 2a - 5 ) + 1 ( 2a - 5 )

1 is common in all expressions

Now,

» ( a + 1 ) ( 2a - 5 )

Wow... That's simple...!

But...

WAIT!! WAIT!! Don't forget that we have taken a = 3x - 2

We must put it back or our answer would be wrong

putting ( 3x - 2 ) in place of ' a '

» { ( 3x - 2 ) + 1 } * { 2 ( 3x - 2 ) - 5 }

Solving it further...

» ( 3x - 2 + 1 ) ( 6x - 4 - 5 )

» ( 3x - 1 ) ( 6x - 9 ) ____ It is the answer

Points to remember ::

- While solving such Questions, always take a variable that is not present in the expression, here, I have taken ' a ' because x was already there.

- Be sure to place the original value of assumed variable.