simplify:( ab+bc)2-2ab2-c
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Answer:
Given, (ab+bc)
2
−2ab
2
c.
We know,
(a+b)
2
=a
2
+2ab+b
2
.
Then,
(ab+bc)
2
−2ab
2
c
=(ab)
2
+2(ab)(bc)+(bc)
2
−2ab
2
c
=a
2
b
2
+2ab
2
c+b
2
c
2
−2ab
2
c
=a
2
b
2
+b
2
c
2
.
Step-by-step explanation:
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