Question

FACTORISE EACH OF THE FOLLOWING

PLEASE PLEASE FAST AND
PLEASE GIVE FULL ANSWER
THE ANSWER IS =(√2x+3) (√2x+3) (√2x+3)
FAST ⏩​

Answer 1

Step-by-step explanation:

The given equation (2x−3)=

2x

2

−2x+21

can be simplified as follows:

(2x−3)=

2x

2

−2x+21

⇒(2x−3)

2

=(

2x

2

−2x+21

)

2

⇒(2x)

2

+3

2

−(2×2x×3)=2x

2

−2x+21(∵(a−b)

2

=a

2

+b

2

−2ab)

⇒4x

2

+9−12x=2x

2

−2x+21

⇒4x

2

+9−12x−2x

2

+2x−21=0

⇒2x

2

−10x−12=0

⇒2(x

2

−5x−6)=0

⇒x

2

−5x−6=0

Now, the quadratic equation x

2

−5x−6=0 can be factorised as shown below:

x

2

−5x−6=0

⇒x

2

−6x+x−6=0

⇒x(x−6)+1(x−6)=0

⇒(x+1)=0,(x−6)=0

⇒x=−1,x=6

Hence, x=−1 or x=6.