Factorise (2a-b)²-9c²
Answers
Answered by
1
Answer:
Applying the identities: a
2
−b
2
=(a+b)(a−b) and (a+b)
2
=a
2
+b
2
+2ab
Using the above identities, the equation a
2
+2ab+b
2
−9c
2
can be factorised as follows:
a
2
+2ab+b
2
−9c
2
=(a+b)
2
−9c
2
=(a+b)
2
−(3c)
2
=(a+b+3c)(a+b−3c)
Hence, a
2
+2ab+b
2
−9c
2
=(a+b+3c)(a+b−3c)
Answered by
3
Step-by-step explanation:
(2a-b+3c)(2a-b-3c)
hope it helps
thanks
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