Question

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

Answer 1

$\huge{\underline{\underline{\red{♡Solution→}}}}$

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

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

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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