Question

Factorise: (a+b)^2-a^2+b^2

Answer 1

Step-by-step explanation:

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

= (a + b)^2 - (a^2 - b^2) [(a + b)(a - b) = a^2 - b^2]

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

= (a + b)[a + b - (a - b)]

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

= (a + b)(2b)

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Answer 2

Answer:

2ab

Step-by-step explanation:

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

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