which is the following is correct. (a) (a-b)2 =a2+2ab-b2. (b) (a-b)=a2-b2 (c) (a-b)2= a2 -2ab+b2 (d) (a+b) a2 + 2ab -b2
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The only correct relation is (c) (a - b)² = a² - 2ab + b².
Step-by-step explanation:
(a) (a - b)² = a² + 2ab - b²
Here, LHS = (a - b)²
= a² - 2ab + b² ≠ RHS
So, the given relation is incorrect.
(b) (a - b)² = a² - b²
Here, LHS = (a - b)²
= a² - 2ab + b² ≠ RHS
So, the given relation is incorrect.
(c) (a - b)² = a² - 2ab + b²
Here, LHS = (a - b)²
= a² - 2ab + b² = RHS
So, the given relation is correct.
(d) (a + b)² = a² + 2ab - b²
Here, LHS = (a + b)²
= a² + 2ab + b² ≠ RHS
So, the given relation is incorrect.
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