Q. 4 F4.5( 11 Votes )

# <span lang="EN-US

In the given expression

We know that

(a + b)2 = a2 + 2ab + b2

(a-b)2 = a2-2ab + b2

Hence

4[a2 + 2ab + b2] – 9[a2-2ab + b2]

4a2 + 8ab + 4b2 - 9a2 + 18ab - 9b2

26ab – 5a2 - 5b2

25ab + ab – 5a2 – 5b2

[25ab – 5a2] + [ab – 5b2]

5a[5b – a] – b[5b – a]

[5a – b][5b – a]

Hence the factors 4 (a + b)2 – 9 (a – b)2 are [5a – b] and [5b – a]

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