Math, asked by shivi1835, 2 months ago

factorise :-
a) 16 a square b square - 25​

Answers

Answered by durgeshsaini9414
0

Rewrite

16

a

2

as

(

4

a

)

2

.

(

4

a

)

2

40

a

b

+

25

b

2

Rewrite

25

b

2

as

(

5

b

)

2

.

(

4

a

)

2

40

a

b

+

(

5

b

)

2

Check the middle term by multiplying

2

a

b

and compare this result with the middle term in the original expression.

2

a

b

=

2

(

4

a

)

(

5

b

)

Simplify.

2

a

b

=

40

a

b

Factor using the perfect square trinomial rule

a

2

2

a

b

+

b

2

=

(

a

b

)

2

, where

a

=

4

a

and

b

=

5

b

.

(

4

a

5

b

)

2

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