1.

36(a+b)^2 - 16 ( a-b)^2 factorise the following​

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36( {a + b)}^{2}  - 16( {a - b)}^{2}

( {6(a + b))}^{2} - ( {4(a - b))}^{2}

USE the IDENTITY

  • {a}^{2}  -  {b}^{2}  = (a + b)(a - b)

(6(a + b) + 4(a - b))(6(a + b) - 4(a - b))

= (6a + 6b + 4a - 4b)(6a + 6b - 4a + 4b) \\  = (10a + 2b)(2a + 10b)

= 2(5a + b) \times 2(a + 5b)

\boxed{= 4(5a + b)(a + 5b)}

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