Question

Factorise: (a+b)²-(a-b)²​

Answer 1

Answer:

4ab

Step-by-step explanation:

(a+b)²=a²+2ab+b²

(a-b)²=a²-2ab+b²

(a+b)²-(a-b)²=(a²+2ab+b²)-(a²-2ab+b²)

=a²+2ab+b²-a²+2ab-b²

=4ab

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Answer 2

Step-by-step explanation:

(a+b)

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

(a+b)(a+b)-(a-b) (a-b)

$a {}^{2} + ab + ab + b {}^{2} - a {}^{2} + ab - ab + b {}^{2}$

$2ab + b {}^{2}$