Question

Factorise (a+b)(5a-4b)-(a + b)(4a-3b)

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Answer 1

$(a + b)(5a - 4b) - (a + b)(4a - 3b)$

$\implies(a + b) \large{[} \small(5a - 4b) - (4a - 3b)\large]$

$\implies(a + b) \large{[} \small5a - 4b - 4a + 3b\large]$

$\implies(a + b) (\small a - b)$

$\blue{ \boxed{(a + b)(a - b) = {a}^{2} - {b}^{2} }}$

$\orange{ \therefore {a}^{2} - {b}^{2} }$

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