Factorize:- 6x^2 + 7x^2 - x - 2
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Answered by
1
Answer:
13x² - x - 2
Step by step explanation:
6x² + 7x² - x - 2
13x² - x - 2 [ Combine like terms ]
13x² - x - 2.
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Answered by
1
Step-by-step explanation:
We know the identities a
2
−b
2
=(a+b)(a−b) and (a+b)
2
=a
2
+b
2
+2ab
It is given that x=
a−b
a+b
and y=
a+b
a−b
and calculate x−y using above identities as shown below:
x−y=
a−b
a+b
−
a+b
a−b
=
(a−b)(a+b)
(a+b)(a+b)−(a−b)(a−b)
=
a
2
−b
2
(a+b)
2
−(a−b)
2
=
a
2
−b
2
(a
2
+b
2
+2ab)−(a
2
+b
2
−2ab)
=
a
2
−b
2
a
2
+b
2
+2ab−a
2
−b
2
+2ab
=
a
2
−b
2
4ab
Hence, x−y=
a
2
−b
2
4ab
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