1.

Factorise the following. (a + b)² – (a - b)²​

Answer» ONG>Answer:

Step-by-step explanation:

As we know that,

\: \: \sf \rightarrow \: {(a + b)}^{2} = {(a)}^{2} + {(b)}^{2} + 2ab

\: \: \sf \rightarrow \: {(a - b)}^{2} = {(a)}^{2} + {(b)}^{2} - 2ab

Now after knowing the formula let's find the factorise value

According to the question,

\: \: \sf \: {(a + b)}^{2} - {(a - b)}^{2} \\ \\ \: \: \sf \: ( {a}^{2} + {b}^{2} + 2ab) - ( {a}^{2} + {b}^{2} - 2ab) \\ \\ \: \: \sf \: {a}^{2} + {b}^{2} + 2ab - {a}^{2} - {b}^{2} + 2ab \\ \\ \: \: \sf \: \cancel{a}^{2} - \cancel {a}^{2} + \cancel {b}^{2} - \cancel {b}^{2} + 2ab + 2ab \\ \\ \: \: \sf \dagger \: \therefore \: 4ab


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