Factorise the following
2x² - x (4a-2b) - 4ab
Correct Answer will be brainlisted
Answers
Answered by
0
Answer:
(a+b)
2
x
2
−4abx−(a−b)
2
=0
As, −(a+b)
2
+(a−b)
2
=−a
2
−b
2
−2ab+a
2
+b
2
−2ab=−4ab
⇒ (a+b)
2
x
2
−(a+b)
2
x+(a−b)
2
x−(a−b)
2
=0
⇒ (a+b)
2
x[x−1]+(a−b)
2
[x−1]=0
⇒ (x−1)[(a+b)
2
x+(a−b)
2
]=0
⇒ x−1=0 and (a+b)
2
x+(a−b)
2
=0
⇒ x=1 and x=−
(a+b)
2
(a−b)
2
∴ x=1 and x=−(
a+b
a−b
)
2
∴ We can see, given roots in question are correct.
Similar questions