Question

factorise the product using appropriate identity
49a^2+ 7ab + 25b^2​

Answer 1

Answer:

( 7a + 5b )

Step-by-step explanation:

49a^2 + 7ab + 25b^2

= (7a)^2 + 7ab + ( 5b)^2

= (7a)^2 + (5b)^2 + 2 ( 7a) (5b)

using identity, ( x + y) = x^2 + y^2 + 2xy

where, x = 7a and y = 5b

= ( 7a + 5b )

hope this will help u

Answer 2

We know 49a

2

+70ab+25b

2

=(7a)

2

+2(7a)(5b)+(5b)

2

We know that x

2

+2xy+y

2

=(x+y)

Here x=7a and y=5b

Therefore, 49a

2

+70ab+25b

2

=(7a)

2

+2(7a)(5b)+(5b)

2

=(7a+5b)

2

=(7a+5b)(7a+5b)

hope it helps u