Question

Simplify the question
(a+b) ^2-(a-b)^2

Answer 1

Answer:

4ab

Step-by-step explanation:

1st expansion of (a+b)^2=a^2 +b^2 +2ab

2nd expansion of (a-b)^2=a^2 +b^2 -2ab

substituting it in equation

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

bracket open we get

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

= 4ab

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Answer 2

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$\large\mathcal\red{solution}$

$(a + b) {}^{2} - (a - b) {}^{2} \\ = (a {}^{2} + b {}^{2} + 2ab) - (a {}^{2} + b {}^{2} - 2ab) \\ = a {}^{2} + b {}^{2} + 2ab - a {}^{2} - b {}^{2} + 2ab \\ = 4ab$

$\large\mathcal\red{hope\: this \: helps \:you......}$