simplify (a b + b c) square minus 2 a b square c
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★ (ab+bc)²-2ab²c
→ (ab+bc)²-2ab²c
∞ So,here will use the identity (a+b)² = a²+b²+2ab
→ (ab)²+(bc)1+2(ab)(bc)-2ab²c
→ a²b²+b²c²+2ab²c-2ab²c
→ a²b²+b²c²
∞ As we know,negative digits can cancel with positive digits(in third step). So,we got the required answer.
★ (a+b)²=a²+b²+2ab)
★ (a-b)²=a²+b²-2ab
★ (a²-b²)=(a-b)(a+b)
★ (x+a)(x+b)=x²+(a+b)x+ab
Thank You!!
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