Math, asked by venkatmedasani71, 1 month ago

Factorise the following 4(a+b)^2-9(a-b)^2​

Answers

Answered by styledturban
1

Answer:

4(a+

b)

2

9(a−

b)

2

By using identity

a 2

b 2

(a+

b)(a−

b)

It can be factorised as

4(a+

b)

2

9(a−

b)

2

=

[(2(a+

b))

2

(3(a−

b))

2

]

= [2(a+ b)+ 3(a− b)][2(a+ b)− 3(a− b)]

= [2a+ 2b+ 3a− 3b][2a+ 2b− 3a+ 3b]

= (5a− b)(5b− a)

Thus factors are

5a−

b,5b−

a

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