Question

Complete the identity: (a+b)

2

= a

2 + b2 + …….

(a) 2ab (b) 4ab (c) 3ab (d)none of these​

Answer 1

option a is correct

plz mark me a brainliest

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

Complete the identity: (a+b)² = a² + b² + _____

(a) 2ab

(b) 4ab

(c) 3ab

(d)none of these

EVALUATION

$\sf{ {(a + b)}^{2} }$

= (a+b) × (a+b)

= a × (a+b) + b × (a+b) [ By Distributive Property ]

$= \sf{ {a}^{2} + ab + ab + {b}^{2} }$

$= \sf{ {a}^{2} +2 ab + {b}^{2} }$

$= \sf{ {a}^{2} + {b}^{2} + 2ab }$

∴ (a+b)² = a² + b² + 2ab

FINAL ANSWER

Hence the correct option is (a) 2ab

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