Question

what is the value of (a+b)^2-(a-b)^2​

Answer 1

Answer:

4ab

Step-by-step explanation:

(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

Answer 2

QUESTION:

what is the value of (a+b)^2-(a-b)^2

ANSWER:

We use the identity here;

${x}^{2} - {y}^{2}$

the expansion of the identity is;

$(x + y)(x - y)$

now come to main question;

let

$(a + b) = x \\ \\ ( a - b) = y$

so,

$( {a + b})^{2} - ( {a - b})^{2}$

$(a + b + a - b)(a + b - a + b) \\ 2a + 2b \\ (taking \: two \: common) \\ 2(a + b)$

FINAL ANSWER :

$\huge\red{2(a + b)}$

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