Question

Simplify (a^2+b^2+2ab) - (a^2-b^2-2ab)

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Answer 1

Answer:

2b^2+4ab

Step-by-step explanation:

a^2+b^2+2ab-a^2+b^2+2ab

b^2+b^2+2ab+2ab

2b^2+4ab

Answer 2

SOLUTION

TO SIMPLIFY

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

EVALUATION

Here the given expression is

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

We now simplify it as below

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

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

$\sf{ = 2 {b}^{2} + 4ab }$

FINAL ANSWER

The required answer

$\sf{ = 2 {b}^{2} + 4ab }$

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