Question

Factorize: 25-a2 -b2 -2ab

Answer 1

Answer:

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

Step-by-step explanation:

$\red { 25 - a^{2} - b^{2} - 2ab }$

$= 25 - (a^{2} + b^{2} + 2ab)$

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

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

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

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

Therefore.,

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

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