Question

Factorise 25-a square - b square -2ab​

Answer 1

Step-by-step explanation:

25−a

2

−b

2

−2ab=(5+a+b)(5−a−b)

Step-by-step explanation:

\red { 25 - a^{2} - b^{2} - 2ab }25−a

2

−b

2

−2ab

= 25 - (a^{2} + b^{2} + 2ab)=25−(a

2

+b

2

+2ab)

= 5^{2} - (a+b)^{2}=5

2

−(a+b)

2

= [ 5 + (a+b) ] [ 5 - (a+b)]=[5+(a+b)][5−(a+b)]

\boxed {Since ,\: \pink { x^{2} - y^{2} = (x+y)(x-y)}}

Since,x

2

−y

2

=(x+y)(x−y)

\green { =(5+ a + b )( 5 - a - b )}=(5+a+b)(5−a−b)

Therefore.,

\red { 25 - a^{2} - b^{2} - 2ab }\green { =(5+ a + b )( 5 - a - b )}25−a

2

−b

2

−2ab=(5+a+b)(5−a−b)